11631440 has 40 divisors (see below), whose sum is σ = 27185760. Its totient is φ = 4628096.

The previous prime is 11631427. The next prime is 11631443. The reversal of 11631440 is 4413611.

11631440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11631443) 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, 27551 + ... + 27969.

It is an arithmetic number, because the mean of its divisors is an integer number (679644).

Almost surely, 2^11631440 is an apocalyptic number.

11631440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11631440 is an abundant number, since it is smaller than the sum of its proper divisors (15554320).

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

11631440 is a wasteful number, since it uses less digits than its factorization.

11631440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 11631440 is about 3410.4897009081. The cubic root of 11631440 is about 226.5745685050.

The spelling of 11631440 in words is "eleven million, six hundred thirty-one thousand, four hundred forty".