10357968 has 40 divisors (see below), whose sum is σ = 27625216. Its totient is φ = 3340800.

The previous prime is 10357933. The next prime is 10357973. The reversal of 10357968 is 86975301.

It is a super-3 number, since 3×10357968³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

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, 1993 + ... + 4968.

Almost surely, 2^10357968 is an apocalyptic number.

It is an amenable number.

10357968 is an abundant number, since it is smaller than the sum of its proper divisors (17267248).

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

10357968 is a wasteful number, since it uses less digits than its factorization.

10357968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7003 (or 6997 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 10357968 is about 3218.3797165655. The cubic root of 10357968 is about 217.9841191473.

It can be divided in two parts, 10357 and 968, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 10357968 in words is "ten million, three hundred fifty-seven thousand, nine hundred sixty-eight".