54768740 has 48 divisors (see below), whose sum is σ = 124441968. Its totient is φ = 20127744.

The previous prime is 54768737. The next prime is 54768767. The reversal of 54768740 is 4786745.

It can be written as a sum of positive squares in 8 ways, for example, as 23116864 + 31651876 = 4808^2 + 5626^2 .

It is a super-2 number, since 2×54768740² = 5999229762375200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81044 + ... + 81716.

It is an arithmetic number, because the mean of its divisors is an integer number (2592541).

Almost surely, 2^54768740 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 54768740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62220984).

54768740 is an abundant number, since it is smaller than the sum of its proper divisors (69673228).

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

54768740 is a wasteful number, since it uses less digits than its factorization.

54768740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The square root of 54768740 is about 7400.5905169790. The cubic root of 54768740 is about 379.7614846710.

The spelling of 54768740 in words is "fifty-four million, seven hundred sixty-eight thousand, seven hundred forty".