54756640 has 48 divisors (see below), whose sum is σ = 133834680. Its totient is φ = 21145600.

The previous prime is 54756617. The next prime is 54756649. The reversal of 54756640 is 4665745.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 44997264 + 9759376 = 6708^2 + 3124^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 54756640.

It is not an unprimeable number, because it can be changed into a prime (54756649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1261 + ... + 10540.

Almost surely, 2^54756640 is an apocalyptic number.

It is an amenable number.

54756640 is an abundant number, since it is smaller than the sum of its proper divisors (79078040).

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

54756640 is a wasteful number, since it uses less digits than its factorization.

54756640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11845 (or 11837 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The square root of 54756640 is about 7399.7729694903. The cubic root of 54756640 is about 379.7335158430.

The spelling of 54756640 in words is "fifty-four million, seven hundred fifty-six thousand, six hundred forty".