66986304 has 224 divisors, whose sum is σ = 231745536. Its totient is φ = 16558080.

The previous prime is 66986291. The next prime is 66986321. The reversal of 66986304 is 40368966.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339934 + ... + 340130.

Almost surely, 2^66986304 is an apocalyptic number.

66986304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66986304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115872768).

66986304 is an abundant number, since it is smaller than the sum of its proper divisors (164759232).

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

66986304 is a wasteful number, since it uses less digits than its factorization.

66986304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 66986304 is about 8184.5161127583. The cubic root of 66986304 is about 406.1271330527.

The spelling of 66986304 in words is "sixty-six million, nine hundred eighty-six thousand, three hundred four".