55204968 has 192 divisors, whose sum is σ = 181560960. Its totient is φ = 13837824.

The previous prime is 55204957. The next prime is 55204969. The reversal of 55204968 is 86940255.

It is a Harshad number since it is a multiple of its sum of digits (39).

55204968 is a modest number, since divided by 4968 gives 552 as remainder.

It is not an unprimeable number, because it can be changed into a prime (55204969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351546 + ... + 351702.

It is an arithmetic number, because the mean of its divisors is an integer number (945630).

Almost surely, 2^55204968 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 55204968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90780480).

55204968 is an abundant number, since it is smaller than the sum of its proper divisors (126355992).

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

55204968 is a wasteful number, since it uses less digits than its factorization.

55204968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 55204968 is about 7430.0045760417. The cubic root of 55204968 is about 380.7670747196.

The spelling of 55204968 in words is "fifty-five million, two hundred four thousand, nine hundred sixty-eight".