10633968 has 30 divisors (see below), whose sum is σ = 29760744. Its totient is φ = 3544608.

The previous prime is 10633951. The next prime is 10633979. The reversal of 10633968 is 86933601.

It is a happy number.

10633968 is a `hidden beast` number, since 10 + 633 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×10633968² = 226162550850048, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36780 + ... + 37067.

Almost surely, 2^10633968 is an apocalyptic number.

10633968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10633968 is an abundant number, since it is smaller than the sum of its proper divisors (19126776).

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

10633968 is a wasteful number, since it uses less digits than its factorization.

10633968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73861 (or 73852 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 10633968 is about 3260.9765408540. The cubic root of 10633968 is about 219.9033183999.

The spelling of 10633968 in words is "ten million, six hundred thirty-three thousand, nine hundred sixty-eight".