66054924 has 144 divisors (see below), whose sum is σ = 193240320. Its totient is φ = 18869760.

The previous prime is 66054899. The next prime is 66054949. The reversal of 66054924 is 42945066.

66054924 is a `hidden beast` number, since 6 + 605 + 49 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (66054899) and next prime (66054949).

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420654 + ... + 420810.

Almost surely, 2^66054924 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 66054924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96620160).

66054924 is an abundant number, since it is smaller than the sum of its proper divisors (127185396).

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

66054924 is a wasteful number, since it uses less digits than its factorization.

66054924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 66054924 is about 8127.4180401896. The cubic root of 66054924 is about 404.2360725292.

The spelling of 66054924 in words is "sixty-six million, fifty-four thousand, nine hundred twenty-four".