66578976 has 96 divisors (see below), whose sum is σ = 195592320. Its totient is φ = 22033152.

The previous prime is 66578933. The next prime is 66579001. The reversal of 66578976 is 67987566.

It is a happy number.

66578976 is a `hidden beast` number, since 66 + 578 + 9 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227086 + ... + 227378.

It is an arithmetic number, because the mean of its divisors is an integer number (2037420).

Almost surely, 2^66578976 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 66578976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97796160).

66578976 is an abundant number, since it is smaller than the sum of its proper divisors (129013344).

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

66578976 is a wasteful number, since it uses less digits than its factorization.

66578976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 561 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 66578976 is about 8159.5941075522. The cubic root of 66578976 is about 405.3022709152.

The spelling of 66578976 in words is "sixty-six million, five hundred seventy-eight thousand, nine hundred seventy-six".