54777240 has 96 divisors (see below), whose sum is σ = 203467680. Its totient is φ = 12519936.

The previous prime is 54777221. The next prime is 54777251. The reversal of 54777240 is 4277745.

It is a happy number.

54777240 is a `hidden beast` number, since 547 + 7 + 72 + 40 = 666.

54777240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 54777195 and 54777204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8349 + ... + 13388.

It is an arithmetic number, because the mean of its divisors is an integer number (2119455).

Almost surely, 2^54777240 is an apocalyptic number.

It is an amenable number.

54777240 is an abundant number, since it is smaller than the sum of its proper divisors (148690440).

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

54777240 is a wasteful number, since it uses less digits than its factorization.

54777240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21761 (or 21754 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 54777240 is about 7401.1647731962. The cubic root of 54777240 is about 379.7811297315.

The spelling of 54777240 in words is "fifty-four million, seven hundred seventy-seven thousand, two hundred forty".