10956672 has 48 divisors (see below), whose sum is σ = 31532280. Its totient is φ = 3651840.

The previous prime is 10956667. The next prime is 10956677. The reversal of 10956672 is 27665901.

It is an interprime number because it is at equal distance from previous prime (10956667) and next prime (10956677).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10956672² = 240097322631168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10956677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3604 + ... + 5907.

Almost surely, 2^10956672 is an apocalyptic number.

10956672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10956672 is an abundant number, since it is smaller than the sum of its proper divisors (20575608).

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

10956672 is an equidigital number, since it uses as much as digits as its factorization.

10956672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9531 (or 9516 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 10956672 is about 3310.0864037061. The cubic root of 10956672 is about 222.1056229796.

It can be divided in two parts, 10956 and 672, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 10956672 in words is "ten million, nine hundred fifty-six thousand, six hundred seventy-two".