54651600 has 360 divisors, whose sum is σ = 215879040. Its totient is φ = 12718080.

The previous prime is 54651593. The next prime is 54651601. The reversal of 54651600 is 615645.

It is a happy number.

54651600 is a `hidden beast` number, since 5 + 4 + 6 + 51 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54651601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1162777 + ... + 1162823.

It is an arithmetic number, because the mean of its divisors is an integer number (599664).

Almost surely, 2^54651600 is an apocalyptic number.

54651600 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 54651600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107939520).

54651600 is an abundant number, since it is smaller than the sum of its proper divisors (161227440).

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

54651600 is a wasteful number, since it uses less digits than its factorization.

54651600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 54651600 is about 7392.6720473723. The cubic root of 54651600 is about 379.4905453648.

The spelling of 54651600 in words is "fifty-four million, six hundred fifty-one thousand, six hundred".