10427616 has 96 divisors (see below), whose sum is σ = 30996000. Its totient is φ = 3452544.

The previous prime is 10427611. The next prime is 10427621. The reversal of 10427616 is 61672401.

10427616 is a `hidden beast` number, since 1 + 0 + 42 + 7 + 616 = 666.

10427616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10427611) and next prime (10427621).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10427616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10427611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69910 + ... + 70058.

It is an arithmetic number, because the mean of its divisors is an integer number (322875).

Almost surely, 2^10427616 is an apocalyptic number.

10427616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10427616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15498000).

10427616 is an abundant number, since it is smaller than the sum of its proper divisors (20568384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10427616 is an frugal number, since it uses more digits than its factorization.

10427616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10427616 is about 3229.1819397488. The cubic root of 10427616 is about 218.4716103780.

The spelling of 10427616 in words is "ten million, four hundred twenty-seven thousand, six hundred sixteen".