11634720 has 48 divisors (see below), whose sum is σ = 36650880. Its totient is φ = 3102464.

The previous prime is 11634697. The next prime is 11634731. The reversal of 11634720 is 2743611.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11640 + ... + 12599.

It is an arithmetic number, because the mean of its divisors is an integer number (763560).

Almost surely, 2^11634720 is an apocalyptic number.

11634720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11634720 is an abundant number, since it is smaller than the sum of its proper divisors (25016160).

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

11634720 is a wasteful number, since it uses less digits than its factorization.

11634720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24257 (or 24249 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 11634720 is about 3410.9705363723. The cubic root of 11634720 is about 226.5958640837.

The spelling of 11634720 in words is "eleven million, six hundred thirty-four thousand, seven hundred twenty".