54965040 has 160 divisors (see below), whose sum is σ = 186654720. Its totient is φ = 13298688.

The previous prime is 54965021. The next prime is 54965069. The reversal of 54965040 is 4056945.

It is a junction number, because it is equal to n+sod(n) for n = 54964992 and 54965010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246369 + ... + 246591.

It is an arithmetic number, because the mean of its divisors is an integer number (1166592).

Almost surely, 2^54965040 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 54965040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93327360).

54965040 is an abundant number, since it is smaller than the sum of its proper divisors (131689680).

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

54965040 is a wasteful number, since it uses less digits than its factorization.

54965040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 54965040 is about 7413.8411097082. The cubic root of 54965040 is about 380.2146525019.

The spelling of 54965040 in words is "fifty-four million, nine hundred sixty-five thousand, forty".