66886992 has 160 divisors (see below), whose sum is σ = 209808000. Its totient is φ = 20321280.

The previous prime is 66886991. The next prime is 66886997. The reversal of 66886992 is 29968866.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66886991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237892 + ... + 238172.

It is an arithmetic number, because the mean of its divisors is an integer number (1311300).

Almost surely, 2^66886992 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 66886992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104904000).

66886992 is an abundant number, since it is smaller than the sum of its proper divisors (142921008).

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

66886992 is a wasteful number, since it uses less digits than its factorization.

66886992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 66886992 is about 8178.4467963055. The cubic root of 66886992 is about 405.9263295840.

The spelling of 66886992 in words is "sixty-six million, eight hundred eighty-six thousand, nine hundred ninety-two".