54394560 has 336 divisors, whose sum is σ = 218248992. Its totient is φ = 12288000.

The previous prime is 54394547. The next prime is 54394573. The reversal of 54394560 is 6549345.

It is a happy number.

54394560 is a `hidden beast` number, since 5 + 4 + 3 + 94 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (54394547) and next prime (54394573).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538510 + ... + 538610.

Almost surely, 2^54394560 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 54394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109124496).

54394560 is an abundant number, since it is smaller than the sum of its proper divisors (163854432).

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

54394560 is a wasteful number, since it uses less digits than its factorization.

54394560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 54394560 is about 7375.2667748360. The cubic root of 54394560 is about 378.8946642102.

It can be divided in two parts, 5439 and 4560, that added together give a palindrome (9999).

The spelling of 54394560 in words is "fifty-four million, three hundred ninety-four thousand, five hundred sixty".