10617672 has 32 divisors (see below), whose sum is σ = 28586880. Its totient is φ = 3266880.

The previous prime is 10617667. The next prime is 10617701. The reversal of 10617672 is 27671601.

It is a happy number.

It is a super-2 number, since 2×10617672² = 225469917399168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16704 + ... + 17327.

It is an arithmetic number, because the mean of its divisors is an integer number (893340).

Almost surely, 2^10617672 is an apocalyptic number.

10617672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10617672 is an abundant number, since it is smaller than the sum of its proper divisors (17969208).

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

10617672 is a wasteful number, since it uses less digits than its factorization.

10617672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34053 (or 34049 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 10617672 is about 3258.4769448317. The cubic root of 10617672 is about 219.7909308581.

The spelling of 10617672 in words is "ten million, six hundred seventeen thousand, six hundred seventy-two".