55586968 has 64 divisors (see below), whose sum is σ = 114048000. Its totient is φ = 25334400.

The previous prime is 55586963. The next prime is 55586969. The reversal of 55586968 is 86968555.

It is a happy number.

It is a super-2 number, since 2×55586968² = 6179822022866048, which contains 22 as substring.

Its product of digits (2592000) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55586963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424263 + ... + 424393.

It is an arithmetic number, because the mean of its divisors is an integer number (1782000).

Almost surely, 2^55586968 is an apocalyptic number.

55586968 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

55586968 is an abundant number, since it is smaller than the sum of its proper divisors (58461032).

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

55586968 is a wasteful number, since it uses less digits than its factorization.

55586968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 252 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 52.

The square root of 55586968 is about 7455.6668380501. Note that the first 3 decimals coincide. The cubic root of 55586968 is about 381.6433171794.

The spelling of 55586968 in words is "fifty-five million, five hundred eighty-six thousand, nine hundred sixty-eight".