10646272 has 72 divisors (see below), whose sum is σ = 26212256. Its totient is φ = 4202496.

The previous prime is 10646257. The next prime is 10646281. The reversal of 10646272 is 27264601.

It is a super-2 number, since 2×10646272² = 226686214995968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 10646272.

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, 23068 + ... + 23524.

Almost surely, 2^10646272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10646272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13106128).

10646272 is an abundant number, since it is smaller than the sum of its proper divisors (15565984).

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

10646272 is an equidigital number, since it uses as much as digits as its factorization.

10646272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 10646272 is about 3262.8625469057. The cubic root of 10646272 is about 219.9880985297.

The spelling of 10646272 in words is "ten million, six hundred forty-six thousand, two hundred seventy-two".