66117590 has 64 divisors (see below), whose sum is σ = 157137408. Its totient is φ = 19392000.

The previous prime is 66117589. The next prime is 66117599. The reversal of 66117590 is 9571166.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 66117590.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66117599) 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, 10565 + ... + 15615.

It is an arithmetic number, because the mean of its divisors is an integer number (2455272).

Almost surely, 2^66117590 is an apocalyptic number.

66117590 is an abundant number, since it is smaller than the sum of its proper divisors (91019818).

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

66117590 is a wasteful number, since it uses less digits than its factorization.

66117590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5093.

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 66117590 is about 8131.2723481630. The cubic root of 66117590 is about 404.3638644215.

The spelling of 66117590 in words is "sixty-six million, one hundred seventeen thousand, five hundred ninety".