54677340 has 72 divisors (see below), whose sum is σ = 166879440. Its totient is φ = 14490624.

The previous prime is 54677339. The next prime is 54677347. The reversal of 54677340 is 4377645.

54677340 is a `hidden beast` number, since 546 + 7 + 73 + 40 = 666.

54677340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54677340² = 5979223018951200, which contains 22 as substring.

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 = 54677295 and 54677304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54677347) by changing a digit.

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, 31372 + ... + 33068.

It is an arithmetic number, because the mean of its divisors is an integer number (2317770).

Almost surely, 2^54677340 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 54677340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83439720).

54677340 is an abundant number, since it is smaller than the sum of its proper divisors (112202100).

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

54677340 is a wasteful number, since it uses less digits than its factorization.

54677340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 54677340 is about 7394.4127555878. The cubic root of 54677340 is about 379.5501139380.

The spelling of 54677340 in words is "fifty-four million, six hundred seventy-seven thousand, three hundred forty".