54166464 has 168 divisors, whose sum is σ = 173077632. Its totient is φ = 16058880.

The previous prime is 54166459. The next prime is 54166499. The reversal of 54166464 is 46466145.

54166464 is a `hidden beast` number, since 5 + 4 + 1 + 6 + 646 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525837 + ... + 525939.

It is an arithmetic number, because the mean of its divisors is an integer number (1030224).

Almost surely, 2^54166464 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 54166464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86538816).

54166464 is an abundant number, since it is smaller than the sum of its proper divisors (118911168).

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

54166464 is a wasteful number, since it uses less digits than its factorization.

54166464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 202 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 54166464 is about 7359.7869534383. The cubic root of 54166464 is about 378.3643082188.

The spelling of 54166464 in words is "fifty-four million, one hundred sixty-six thousand, four hundred sixty-four".