55064192 has 64 divisors (see below), whose sum is σ = 114125760. Its totient is φ = 26449920.

The previous prime is 55064183. The next prime is 55064203. The reversal of 55064192 is 29146055.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×55064192² = 6064130481225728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 663383 + ... + 663465.

It is an arithmetic number, because the mean of its divisors is an integer number (1783215).

Almost surely, 2^55064192 is an apocalyptic number.

55064192 is the 6059-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55064192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57062880).

55064192 is an abundant number, since it is smaller than the sum of its proper divisors (59061568).

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

55064192 is an equidigital number, since it uses as much as digits as its factorization.

55064192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 55064192 is about 7420.5250488089. The cubic root of 55064192 is about 380.4431395387.

The spelling of 55064192 in words is "fifty-five million, sixty-four thousand, one hundred ninety-two".