54637920 has 144 divisors (see below), whose sum is σ = 196363440. Its totient is φ = 13796352.

The previous prime is 54637889. The next prime is 54637967. The reversal of 54637920 is 2973645.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26362 + ... + 28358.

It is an arithmetic number, because the mean of its divisors is an integer number (1363635).

Almost surely, 2^54637920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54637920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98181720).

54637920 is an abundant number, since it is smaller than the sum of its proper divisors (141725520).

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

54637920 is a wasteful number, since it uses less digits than its factorization.

54637920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 54637920 is about 7391.7467489085. The cubic root of 54637920 is about 379.4588789306.

The spelling of 54637920 in words is "fifty-four million, six hundred thirty-seven thousand, nine hundred twenty".