54980640 has 384 divisors, whose sum is σ = 228614400. Its totient is φ = 12165120.

The previous prime is 54980633. The next prime is 54980659. The reversal of 54980640 is 4608945.

54980640 is a `hidden beast` number, since 5 + 4 + 9 + 8 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 54980595 and 54980604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 617716 + ... + 617804.

It is an arithmetic number, because the mean of its divisors is an integer number (595350).

Almost surely, 2^54980640 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 54980640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114307200).

54980640 is an abundant number, since it is smaller than the sum of its proper divisors (173633760).

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

54980640 is a wasteful number, since it uses less digits than its factorization.

54980640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 54980640 is about 7414.8931212796. The cubic root of 54980640 is about 380.2506195307.

The spelling of 54980640 in words is "fifty-four million, nine hundred eighty thousand, six hundred forty".