10679472 has 80 divisors (see below), whose sum is σ = 31248000. Its totient is φ = 3491136.

The previous prime is 10679443. The next prime is 10679477. The reversal of 10679472 is 27497601.

It is a happy number.

It is a super-2 number, since 2×10679472² = 228102244397568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10679477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25279 + ... + 25697.

It is an arithmetic number, because the mean of its divisors is an integer number (390600).

Almost surely, 2^10679472 is an apocalyptic number.

10679472 is a gapful number since it is divisible by the number (12) 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 10679472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624000).

10679472 is an abundant number, since it is smaller than the sum of its proper divisors (20568528).

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

10679472 is a wasteful number, since it uses less digits than its factorization.

10679472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 10679472 is about 3267.9461439871. The cubic root of 10679472 is about 220.2165361146.

The spelling of 10679472 in words is "ten million, six hundred seventy-nine thousand, four hundred seventy-two".