55958592 has 56 divisors (see below), whose sum is σ = 148640800. Its totient is φ = 18579456.

The previous prime is 55958587. The next prime is 55958593. The reversal of 55958592 is 29585955.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (55958593) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72384 + ... + 73152.

It is an arithmetic number, because the mean of its divisors is an integer number (2654300).

Almost surely, 2^55958592 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 55958592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74320400).

55958592 is an abundant number, since it is smaller than the sum of its proper divisors (92682208).

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

55958592 is a wasteful number, since it uses less digits than its factorization.

55958592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1153 counting only the distinct ones).

The product of its digits is 810000, while the sum is 48.

The square root of 55958592 is about 7480.5475735403. The cubic root of 55958592 is about 382.4919149045.

The spelling of 55958592 in words is "fifty-five million, nine hundred fifty-eight thousand, five hundred ninety-two".