54764600 has 144 divisors (see below), whose sum is σ = 146448960. Its totient is φ = 19008000.

The previous prime is 54764597. The next prime is 54764657. The reversal of 54764600 is 646745.

It is a super-2 number, since 2×54764600² = 5998322826320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 750164 + ... + 750236.

Almost surely, 2^54764600 is an apocalyptic number.

54764600 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 54764600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73224480).

54764600 is an abundant number, since it is smaller than the sum of its proper divisors (91684360).

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

54764600 is a wasteful number, since it uses less digits than its factorization.

54764600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 54764600 is about 7400.3108042838. The cubic root of 54764600 is about 379.7519156348.

The spelling of 54764600 in words is "fifty-four million, seven hundred sixty-four thousand, six hundred".