54964008 has 120 divisors (see below), whose sum is σ = 169459290. Its totient is φ = 16632000.

The previous prime is 54963971. The next prime is 54964031. The reversal of 54964008 is 80046945.

54964008 is a `hidden beast` number, since 5 + 4 + 9 + 640 + 0 + 8 = 666.

54964008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 37675044 + 17288964 = 6138^2 + 4158^2 .

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

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 29 ways as a sum of consecutive naturals, for example, 78058 + ... + 78758.

Almost surely, 2^54964008 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 54964008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84729645).

54964008 is an abundant number, since it is smaller than the sum of its proper divisors (114495282).

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

54964008 is a wasteful number, since it uses less digits than its factorization.

54964008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 54964008 is about 7413.7715098322. The cubic root of 54964008 is about 380.2122729046.

The spelling of 54964008 in words is "fifty-four million, nine hundred sixty-four thousand, eight".