54761600 has 96 divisors (see below), whose sum is σ = 137388900. Its totient is φ = 21565440.

The previous prime is 54761587. The next prime is 54761621. The reversal of 54761600 is 616745.

It can be written as a sum of positive squares in 6 ways, for example, as 19430464 + 35331136 = 4408^2 + 5944^2 .

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, 348722 + ... + 348878.

Almost surely, 2^54761600 is an apocalyptic number.

54761600 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 54761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68694450).

54761600 is an abundant number, since it is smaller than the sum of its proper divisors (82627300).

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

54761600 is a wasteful number, since it uses less digits than its factorization.

54761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 54761600 is about 7400.1081073184. The cubic root of 54761600 is about 379.7449812493.

It can be divided in two parts, 5476 and 1600, that multiplied together give a square (8761600 = 2960²).

The spelling of 54761600 in words is "fifty-four million, seven hundred sixty-one thousand, six hundred".