55966368 has 24 divisors (see below), whose sum is σ = 146911968. Its totient is φ = 18655424.

The previous prime is 55966307. The next prime is 55966387. The reversal of 55966368 is 86366955.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×55966368² = 6264468694222848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 291396 + ... + 291587.

It is an arithmetic number, because the mean of its divisors is an integer number (6121332).

Almost surely, 2^55966368 is an apocalyptic number.

It is an amenable number.

55966368 is an abundant number, since it is smaller than the sum of its proper divisors (90945600).

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

55966368 is a wasteful number, since it uses less digits than its factorization.

55966368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582996 (or 582988 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 48.

The square root of 55966368 is about 7481.0673035336. The cubic root of 55966368 is about 382.5096310959.

The spelling of 55966368 in words is "fifty-five million, nine hundred sixty-six thousand, three hundred sixty-eight".