54661400 has 48 divisors (see below), whose sum is σ = 127622040. Its totient is φ = 21772800.

The previous prime is 54661357. The next prime is 54661421. The reversal of 54661400 is 416645.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 54661400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66995 + ... + 67805.

Almost surely, 2^54661400 is an apocalyptic number.

54661400 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 54661400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63811020).

54661400 is an abundant number, since it is smaller than the sum of its proper divisors (72960640).

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

54661400 is a wasteful number, since it uses less digits than its factorization.

54661400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 54661400 is about 7393.3348361886. The cubic root of 54661400 is about 379.5132271349.

The spelling of 54661400 in words is "fifty-four million, six hundred sixty-one thousand, four hundred".