55736496 has 120 divisors (see below), whose sum is σ = 162779760. Its totient is φ = 17791488.

The previous prime is 55736479. The next prime is 55736497. The reversal of 55736496 is 69463755.

55736496 is a `hidden beast` number, since 557 + 3 + 6 + 4 + 96 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (680400) is a multiple of the sum of its prime factors (243).

It is not an unprimeable number, because it can be changed into a prime (55736497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511290 + ... + 511398.

It is an arithmetic number, because the mean of its divisors is an integer number (1356498).

Almost surely, 2^55736496 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 55736496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81389880).

55736496 is an abundant number, since it is smaller than the sum of its proper divisors (107043264).

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

55736496 is a wasteful number, since it uses less digits than its factorization.

55736496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 234 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 55736496 is about 7465.6879120413. The cubic root of 55736496 is about 381.9852154763.

The spelling of 55736496 in words is "fifty-five million, seven hundred thirty-six thousand, four hundred ninety-six".