11634960 has 40 divisors (see below), whose sum is σ = 36069120. Its totient is φ = 3102592.

The previous prime is 11634913. The next prime is 11634967. The reversal of 11634960 is 6943611.

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 (30).

It is not an unprimeable number, because it can be changed into a prime (11634967) 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, 24000 + ... + 24479.

It is an arithmetic number, because the mean of its divisors is an integer number (901728).

Almost surely, 2^11634960 is an apocalyptic number.

11634960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11634960 is an abundant number, since it is smaller than the sum of its proper divisors (24434160).

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

11634960 is a wasteful number, since it uses less digits than its factorization.

11634960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48495 (or 48489 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 11634960 is about 3411.0057167938. The cubic root of 11634960 is about 226.5974221396.

The spelling of 11634960 in words is "eleven million, six hundred thirty-four thousand, nine hundred sixty".