54957640 has 32 divisors (see below), whose sum is σ = 124189560. Its totient is φ = 21888000.

The previous prime is 54957619. The next prime is 54957641. The reversal of 54957640 is 4675945.

It can be written as a sum of positive squares in 4 ways, for example, as 53904964 + 1052676 = 7342^2 + 1026^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 54957593 and 54957602.

It is not an unprimeable number, because it can be changed into a prime (54957641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6790 + ... + 12490.

Almost surely, 2^54957640 is an apocalyptic number.

It is an amenable number.

54957640 is an abundant number, since it is smaller than the sum of its proper divisors (69231920).

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

54957640 is a wasteful number, since it uses less digits than its factorization.

54957640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5953 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 54957640 is about 7413.3420263738. The cubic root of 54957640 is about 380.1975888392.

The spelling of 54957640 in words is "fifty-four million, nine hundred fifty-seven thousand, six hundred forty".