11742864 has 40 divisors (see below), whose sum is σ = 34670400. Its totient is φ = 3355008.

The previous prime is 11742793. The next prime is 11742877. The reversal of 11742864 is 46824711.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 17139 + ... + 17810.

It is an arithmetic number, because the mean of its divisors is an integer number (866760).

Almost surely, 2^11742864 is an apocalyptic number.

11742864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11742864 is an abundant number, since it is smaller than the sum of its proper divisors (22927536).

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

11742864 is a wasteful number, since it uses less digits than its factorization.

11742864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34967 (or 34961 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 11742864 is about 3426.7862495347. The cubic root of 11742864 is about 227.2957648599.

The spelling of 11742864 in words is "eleven million, seven hundred forty-two thousand, eight hundred sixty-four".