10540872 has 48 divisors (see below), whose sum is σ = 28704780. Its totient is φ = 3494400.

The previous prime is 10540843. The next prime is 10540883. The reversal of 10540872 is 27804501.

It can be written as a sum of positive squares in 2 ways, for example, as 10536516 + 4356 = 3246^2 + 66^2 .

It is a super-2 number, since 2×10540872² = 222219965040768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19972 + ... + 20492.

Almost surely, 2^10540872 is an apocalyptic number.

10540872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10540872 is an abundant number, since it is smaller than the sum of its proper divisors (18163908).

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

10540872 is a wasteful number, since it uses less digits than its factorization.

10540872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10540872 is about 3246.6709103326. The cubic root of 10540872 is about 219.2597156466.

The spelling of 10540872 in words is "ten million, five hundred forty thousand, eight hundred seventy-two".