11649520 has 40 divisors (see below), whose sum is σ = 27248256. Its totient is φ = 4631808.

The previous prime is 11649511. The next prime is 11649529. The reversal of 11649520 is 2594611.

It is an interprime number because it is at equal distance from previous prime (11649511) and next prime (11649529).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×11649520² = 271422632460800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11649529) 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 7 ways as a sum of consecutive naturals, for example, 17514 + ... + 18166.

Almost surely, 2^11649520 is an apocalyptic number.

11649520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11649520 is an abundant number, since it is smaller than the sum of its proper divisors (15598736).

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

11649520 is a wasteful number, since it uses less digits than its factorization.

11649520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 11649520 is about 3413.1393174027. The cubic root of 11649520 is about 226.6919041488.

The spelling of 11649520 in words is "eleven million, six hundred forty-nine thousand, five hundred twenty".