54647964 has 72 divisors (see below), whose sum is σ = 162166368. Its totient is φ = 15189120.

The previous prime is 54647953. The next prime is 54647993. The reversal of 54647964 is 46974645.

54647964 is a `hidden beast` number, since 546 + 47 + 9 + 64 = 666.

54647964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 6394 + ... + 12254.

Almost surely, 2^54647964 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 54647964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81083184).

54647964 is an abundant number, since it is smaller than the sum of its proper divisors (107518404).

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

54647964 is a wasteful number, since it uses less digits than its factorization.

54647964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5915 (or 5910 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 54647964 is about 7392.4261240813. The cubic root of 54647964 is about 379.4821292756.

It can be divided in two parts, 54647 and 964, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 54647964 in words is "fifty-four million, six hundred forty-seven thousand, nine hundred sixty-four".