54914640 has 240 divisors, whose sum is σ = 196320768. Its totient is φ = 12672000.

The previous prime is 54914633. The next prime is 54914681. The reversal of 54914640 is 4641945.

54914640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 900210 + ... + 900270.

Almost surely, 2^54914640 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 54914640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98160384).

54914640 is an abundant number, since it is smaller than the sum of its proper divisors (141406128).

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

54914640 is a wasteful number, since it uses less digits than its factorization.

54914640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 54914640 is about 7410.4412824069. The cubic root of 54914640 is about 380.0984048011.

The spelling of 54914640 in words is "fifty-four million, nine hundred fourteen thousand, six hundred forty".