66959800 has 96 divisors (see below), whose sum is σ = 166953600. Its totient is φ = 24900480.

The previous prime is 66959759. The next prime is 66959807. The reversal of 66959800 is 895966.

It is a super-2 number, since 2×66959800² = 8967229632080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66959807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254469 + ... + 254731.

It is an arithmetic number, because the mean of its divisors is an integer number (1739100).

Almost surely, 2^66959800 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 66959800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83476800).

66959800 is an abundant number, since it is smaller than the sum of its proper divisors (99993800).

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

66959800 is a wasteful number, since it uses less digits than its factorization.

66959800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 66959800 is about 8182.8967975895. The cubic root of 66959800 is about 406.0735628309.

The spelling of 66959800 in words is "sixty-six million, nine hundred fifty-nine thousand, eight hundred".