54285660 has 384 divisors, whose sum is σ = 214502400. Its totient is φ = 11197440.

The previous prime is 54285631. The next prime is 54285661. The reversal of 54285660 is 6658245.

54285660 is a `hidden beast` number, since 542 + 8 + 56 + 60 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54285661) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1467162 + ... + 1467198.

It is an arithmetic number, because the mean of its divisors is an integer number (558600).

Almost surely, 2^54285660 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 54285660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107251200).

54285660 is an abundant number, since it is smaller than the sum of its proper divisors (160216740).

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

54285660 is a wasteful number, since it uses less digits than its factorization.

54285660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 54285660 is about 7367.8802921872. The cubic root of 54285660 is about 378.6416413871.

It can be divided in two parts, 54285 and 660, that added together give a palindrome (54945).

The spelling of 54285660 in words is "fifty-four million, two hundred eighty-five thousand, six hundred sixty".