10971520 has 128 divisors (see below), whose sum is σ = 31334400. Its totient is φ = 3594240.

The previous prime is 10971503. The next prime is 10971523. The reversal of 10971520 is 2517901.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10971520² = 240748502220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10971523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138841 + ... + 138919.

It is an arithmetic number, because the mean of its divisors is an integer number (244800).

Almost surely, 2^10971520 is an apocalyptic number.

10971520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15667200).

10971520 is an abundant number, since it is smaller than the sum of its proper divisors (20362880).

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

10971520 is an equidigital number, since it uses as much as digits as its factorization.

10971520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 10971520 is about 3312.3284861257. The cubic root of 10971520 is about 222.2059069503.

The spelling of 10971520 in words is "ten million, nine hundred seventy-one thousand, five hundred twenty".