54760608 has 144 divisors (see below), whose sum is σ = 185867136. Its totient is φ = 14952960.

The previous prime is 54760583. The next prime is 54760609. The reversal of 54760608 is 80606745.

It is a happy number.

54760608 is a `hidden beast` number, since 5 + 47 + 6 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (54760609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45778 + ... + 46958.

It is an arithmetic number, because the mean of its divisors is an integer number (1290744).

Almost surely, 2^54760608 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 54760608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92933568).

54760608 is an abundant number, since it is smaller than the sum of its proper divisors (131106528).

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

54760608 is a wasteful number, since it uses less digits than its factorization.

54760608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 54760608 is about 7400.0410809671. The cubic root of 54760608 is about 379.7426882234.

The spelling of 54760608 in words is "fifty-four million, seven hundred sixty thousand, six hundred eight".