54764100 has 90 divisors (see below), whose sum is σ = 177549834. Its totient is φ = 14601600.

The previous prime is 54764077. The next prime is 54764113. The reversal of 54764100 is 146745.

It can be written as a sum of positive squares in 3 ways, for example, as 8714304 + 46049796 = 2952^2 + 6786^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4720 + ... + 11480.

Almost surely, 2^54764100 is an apocalyptic number.

54764100 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 54764100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88774917).

54764100 is an abundant number, since it is smaller than the sum of its proper divisors (122785734).

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

54764100 is a wasteful number, since it uses less digits than its factorization.

54764100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6787 (or 6771 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 54764100 is about 7400.2770218418. The cubic root of 54764100 is about 379.7507599215.

The spelling of 54764100 in words is "fifty-four million, seven hundred sixty-four thousand, one hundred".