55874016 has 96 divisors (see below), whose sum is σ = 177811200. Its totient is φ = 16928640.

The previous prime is 55874011. The next prime is 55874017. The reversal of 55874016 is 61047855.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55874011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6565 + ... + 12443.

It is an arithmetic number, because the mean of its divisors is an integer number (1852200).

Almost surely, 2^55874016 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 55874016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88905600).

55874016 is an abundant number, since it is smaller than the sum of its proper divisors (121937184).

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

55874016 is a wasteful number, since it uses less digits than its factorization.

55874016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5909 (or 5895 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 55874016 is about 7474.8923738071. The cubic root of 55874016 is about 382.2991178944.

The spelling of 55874016 in words is "fifty-five million, eight hundred seventy-four thousand, sixteen".