10427620 has 48 divisors (see below), whose sum is σ = 25216128. Its totient is φ = 3548160.

The previous prime is 10427611. The next prime is 10427621. The reversal of 10427620 is 2672401.

It is a junction number, because it is equal to n+sod(n) for n = 10427591 and 10427600.

It is not an unprimeable number, because it can be changed into a prime (10427621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29364 + ... + 29716.

It is an arithmetic number, because the mean of its divisors is an integer number (525336).

Almost surely, 2^10427620 is an apocalyptic number.

10427620 is a gapful number since it is divisible by the number (10) 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 10427620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12608064).

10427620 is an abundant number, since it is smaller than the sum of its proper divisors (14788508).

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

10427620 is a wasteful number, since it uses less digits than its factorization.

10427620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 10427620 is about 3229.1825591007. The cubic root of 10427620 is about 218.4716383130.

The spelling of 10427620 in words is "ten million, four hundred twenty-seven thousand, six hundred twenty".