11537640 has 96 divisors (see below), whose sum is σ = 38918880. Its totient is φ = 3074112.

The previous prime is 11537609. The next prime is 11537641. The reversal of 11537640 is 4673511.

11537640 is a `hidden beast` number, since 1 + 15 + 3 + 7 + 640 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11537641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9127 + ... + 10313.

It is an arithmetic number, because the mean of its divisors is an integer number (405405).

Almost surely, 2^11537640 is an apocalyptic number.

11537640 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 11537640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19459440).

11537640 is an abundant number, since it is smaller than the sum of its proper divisors (27381240).

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

11537640 is a wasteful number, since it uses less digits than its factorization.

11537640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 11537640 is about 3396.7101730940. The cubic root of 11537640 is about 225.9638650557.

The spelling of 11537640 in words is "eleven million, five hundred thirty-seven thousand, six hundred forty".