55926144 has 96 divisors (see below), whose sum is σ = 164821800. Its totient is φ = 18192384.

The previous prime is 55926131. The next prime is 55926163. The reversal of 55926144 is 44162955.

55926144 is a `hidden beast` number, since 5 + 592 + 61 + 4 + 4 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 55926099 and 55926108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48972 + ... + 50100.

Almost surely, 2^55926144 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 55926144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82410900).

55926144 is an abundant number, since it is smaller than the sum of its proper divisors (108895656).

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

55926144 is a wasteful number, since it uses less digits than its factorization.

55926144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1177 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 55926144 is about 7478.3784338585. The cubic root of 55926144 is about 382.4179703628.

The spelling of 55926144 in words is "fifty-five million, nine hundred twenty-six thousand, one hundred forty-four".