10642976 has 48 divisors (see below), whose sum is σ = 21976920. Its totient is φ = 5068800.

The previous prime is 10642963. The next prime is 10642987. The reversal of 10642976 is 67924601.

It can be written as a sum of positive squares in 4 ways, for example, as 10627600 + 15376 = 3260^2 + 124^2 .

It is a super-2 number, since 2×10642976² = 226545876273152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105326 + ... + 105426.

Almost surely, 2^10642976 is an apocalyptic number.

10642976 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 10642976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10988460).

10642976 is an abundant number, since it is smaller than the sum of its proper divisors (11333944).

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

10642976 is a wasteful number, since it uses less digits than its factorization.

10642976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 10642976 is about 3262.3574298351. The cubic root of 10642976 is about 219.9653940058.

The spelling of 10642976 in words is "ten million, six hundred forty-two thousand, nine hundred seventy-six".