55767264 has 96 divisors (see below), whose sum is σ = 172763136. Its totient is φ = 15413760.

The previous prime is 55767247. The next prime is 55767269. The reversal of 55767264 is 46276755.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55767269) 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, 19494 + ... + 22170.

It is an arithmetic number, because the mean of its divisors is an integer number (1799616).

Almost surely, 2^55767264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55767264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86381568).

55767264 is an abundant number, since it is smaller than the sum of its proper divisors (116995872).

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

55767264 is a wasteful number, since it uses less digits than its factorization.

55767264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2720 counting only the distinct ones).

The product of its digits is 352800, while the sum is 42.

The square root of 55767264 is about 7467.7482549963. The cubic root of 55767264 is about 382.0554911483.

The spelling of 55767264 in words is "fifty-five million, seven hundred sixty-seven thousand, two hundred sixty-four".