54962180 has 144 divisors (see below), whose sum is σ = 150522624. Its totient is φ = 16473600.

The previous prime is 54962179. The next prime is 54962189. The reversal of 54962180 is 8126945.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 54962180.

It is not an unprimeable number, because it can be changed into a prime (54962189) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544130 + ... + 544230.

It is an arithmetic number, because the mean of its divisors is an integer number (1045296).

Almost surely, 2^54962180 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 54962180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75261312).

54962180 is an abundant number, since it is smaller than the sum of its proper divisors (95560444).

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

54962180 is a wasteful number, since it uses less digits than its factorization.

54962180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 54962180 is about 7413.6482247271. The cubic root of 54962180 is about 380.2080578084.

The spelling of 54962180 in words is "fifty-four million, nine hundred sixty-two thousand, one hundred eighty".