54675180 has 108 divisors (see below), whose sum is σ = 192956400. Its totient is φ = 12495168.

The previous prime is 54675169. The next prime is 54675191. The reversal of 54675180 is 8157645.

It is an interprime number because it is at equal distance from previous prime (54675169) and next prime (54675191).

It is a super-3 number, since 3×54675180³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5721 + ... + 11919.

Almost surely, 2^54675180 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 54675180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96478200).

54675180 is an abundant number, since it is smaller than the sum of its proper divisors (138281220).

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

54675180 is a wasteful number, since it uses less digits than its factorization.

54675180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6228 (or 6216 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 54675180 is about 7394.2666979221. The cubic root of 54675180 is about 379.5451158953.

The spelling of 54675180 in words is "fifty-four million, six hundred seventy-five thousand, one hundred eighty".