54517320 has 256 divisors, whose sum is σ = 214099200. Its totient is φ = 12165120.

The previous prime is 54517301. The next prime is 54517387. The reversal of 54517320 is 2371545.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 154264 + ... + 154616.

It is an arithmetic number, because the mean of its divisors is an integer number (836325).

Almost surely, 2^54517320 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 54517320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107049600).

54517320 is an abundant number, since it is smaller than the sum of its proper divisors (159581880).

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

54517320 is a wasteful number, since it uses less digits than its factorization.

54517320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 54517320 is about 7383.5844953518. The cubic root of 54517320 is about 379.1794853507.

Adding to 54517320 its reverse (2371545), we get a palindrome (56888865).

The spelling of 54517320 in words is "fifty-four million, five hundred seventeen thousand, three hundred twenty".