55964100 has 72 divisors (see below), whose sum is σ = 163614528. Its totient is φ = 14768000.

The previous prime is 55964081. The next prime is 55964107. The reversal of 55964100 is 146955.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (55964107) 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, 29377 + ... + 31223.

It is an arithmetic number, because the mean of its divisors is an integer number (2272424).

Almost surely, 2^55964100 is an apocalyptic number.

55964100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55964100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81807264).

55964100 is an abundant number, since it is smaller than the sum of its proper divisors (107650428).

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

55964100 is a wasteful number, since it uses less digits than its factorization.

55964100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 55964100 is about 7480.9157193488. The cubic root of 55964100 is about 382.5044640429.

The spelling of 55964100 in words is "fifty-five million, nine hundred sixty-four thousand, one hundred".