54992800 has 72 divisors (see below), whose sum is σ = 136889676. Its totient is φ = 21565440.

The previous prime is 54992761. The next prime is 54992803. The reversal of 54992800 is 829945.

54992800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 44675856 + 10316944 = 6684^2 + 3212^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 54992800.

It is not an unprimeable number, because it can be changed into a prime (54992803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41752 + ... + 43048.

Almost surely, 2^54992800 is an apocalyptic number.

54992800 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 54992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68444838).

54992800 is an abundant number, since it is smaller than the sum of its proper divisors (81896876).

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

54992800 is a wasteful number, since it uses less digits than its factorization.

54992800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 54992800 is about 7415.7130473070. The cubic root of 54992800 is about 380.2786506503.

The spelling of 54992800 in words is "fifty-four million, nine hundred ninety-two thousand, eight hundred".