66959040 has 112 divisors (see below), whose sum is σ = 223845120. Its totient is φ = 16911360.

The previous prime is 66959033. The next prime is 66959051. The reversal of 66959040 is 4095966.

It is a self number, because there is not a number n which added to its sum of digits gives 66959040.

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, 16405 + ... + 20075.

Almost surely, 2^66959040 is an apocalyptic number.

66959040 is a gapful number since it is divisible by the number (60) 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 66959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111922560).

66959040 is an abundant number, since it is smaller than the sum of its proper divisors (156886080).

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

66959040 is a wasteful number, since it uses less digits than its factorization.

66959040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 66959040 is about 8182.8503591353. The cubic root of 66959040 is about 406.0720265008.

The spelling of 66959040 in words is "sixty-six million, nine hundred fifty-nine thousand, forty".