10629768 has 32 divisors (see below), whose sum is σ = 26732160. Its totient is φ = 3522240.

The previous prime is 10629761. The next prime is 10629779. The reversal of 10629768 is 86792601.

It is a super-2 number, since 2×10629768² = 225983935467648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10629761) 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, 3121 + ... + 5567.

It is an arithmetic number, because the mean of its divisors is an integer number (835380).

Almost surely, 2^10629768 is an apocalyptic number.

It is an amenable number.

10629768 is an abundant number, since it is smaller than the sum of its proper divisors (16102392).

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

10629768 is a wasteful number, since it uses less digits than its factorization.

10629768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 10629768 is about 3260.3324983811. The cubic root of 10629768 is about 219.8743635275.

The spelling of 10629768 in words is "ten million, six hundred twenty-nine thousand, seven hundred sixty-eight".