55005264 has 80 divisors (see below), whose sum is σ = 159087040. Its totient is φ = 18195840.

The previous prime is 55005263. The next prime is 55005271. The reversal of 55005264 is 46250055.

55005264 is a `hidden beast` number, since 550 + 0 + 52 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55005263) 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, 67419 + ... + 68229.

It is an arithmetic number, because the mean of its divisors is an integer number (1988588).

Almost surely, 2^55005264 is an apocalyptic number.

55005264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55005264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79543520).

55005264 is an abundant number, since it is smaller than the sum of its proper divisors (104081776).

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

55005264 is a wasteful number, since it uses less digits than its factorization.

55005264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 55005264 is about 7416.5533774119. The cubic root of 55005264 is about 380.3073782599.

The spelling of 55005264 in words is "fifty-five million, five thousand, two hundred sixty-four".