55806948 has 96 divisors (see below), whose sum is σ = 151240320. Its totient is φ = 17781120.

The previous prime is 55806893. The next prime is 55806977. The reversal of 55806948 is 84960855.

55806948 is a `hidden beast` number, since 5 + 580 + 69 + 4 + 8 = 666.

It is a super-2 number, since 2×55806948² = 6228830890149408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283186 + ... + 283382.

It is an arithmetic number, because the mean of its divisors is an integer number (1575420).

Almost surely, 2^55806948 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 55806948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75620160).

55806948 is an abundant number, since it is smaller than the sum of its proper divisors (95433372).

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

55806948 is a wasteful number, since it uses less digits than its factorization.

55806948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 55806948 is about 7470.4048083086. The cubic root of 55806948 is about 382.1460932575.

The spelling of 55806948 in words is "fifty-five million, eight hundred six thousand, nine hundred forty-eight".