10512640 has 72 divisors (see below), whose sum is σ = 25901568. Its totient is φ = 4085760.

The previous prime is 10512629. The next prime is 10512641. The reversal of 10512640 is 4621501.

It is a super-2 number, since 2×10512640² = 221031199539200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10512641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54945 + ... + 55135.

It is an arithmetic number, because the mean of its divisors is an integer number (359744).

Almost surely, 2^10512640 is an apocalyptic number.

10512640 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 10512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12950784).

10512640 is an abundant number, since it is smaller than the sum of its proper divisors (15388928).

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

10512640 is an equidigital number, since it uses as much as digits as its factorization.

10512640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 10512640 is about 3242.3201569247. The cubic root of 10512640 is about 219.0637902065.

The spelling of 10512640 in words is "ten million, five hundred twelve thousand, six hundred forty".