54996800 has 84 divisors (see below), whose sum is σ = 139133580. Its totient is φ = 21381120.

The previous prime is 54996797. The next prime is 54996803. The reversal of 54996800 is 869945.

It is an interprime number because it is at equal distance from previous prime (54996797) and next prime (54996803).

It can be written as a sum of positive squares in 6 ways, for example, as 3041536 + 51955264 = 1744^2 + 7208^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54996803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58736 + ... + 59664.

Almost surely, 2^54996800 is an apocalyptic number.

54996800 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 54996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69566790).

54996800 is an abundant number, since it is smaller than the sum of its proper divisors (84136780).

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

54996800 is a wasteful number, since it uses less digits than its factorization.

54996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 54996800 is about 7415.9827400015. The cubic root of 54996800 is about 380.2878705101.

The spelling of 54996800 in words is "fifty-four million, nine hundred ninety-six thousand, eight hundred".