10479616 has 96 divisors (see below), whose sum is σ = 25945920. Its totient is φ = 4128768.

The previous prime is 10479613. The next prime is 10479619. The reversal of 10479616 is 61697401.

It is an interprime number because it is at equal distance from previous prime (10479613) and next prime (10479619).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (10479611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243691 + ... + 243733.

It is an arithmetic number, because the mean of its divisors is an integer number (270270).

Almost surely, 2^10479616 is an apocalyptic number.

10479616 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 10479616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972960).

10479616 is an abundant number, since it is smaller than the sum of its proper divisors (15466304).

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

10479616 is an equidigital number, since it uses as much as digits as its factorization.

10479616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 10479616 is about 3237.2235017064. The cubic root of 10479616 is about 218.8341634237.

The spelling of 10479616 in words is "ten million, four hundred seventy-nine thousand, six hundred sixteen".