65166516 has 72 divisors (see below), whose sum is σ = 169131144. Its totient is φ = 21150720.

The previous prime is 65166511. The next prime is 65166553. The reversal of 65166516 is 61566156.

It can be written as a sum of positive squares in 4 ways, for example, as 1102500 + 64064016 = 1050^2 + 8004^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65166511) 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, 359946 + ... + 360126.

Almost surely, 2^65166516 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 65166516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84565572).

65166516 is an abundant number, since it is smaller than the sum of its proper divisors (103964628).

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

65166516 is a wasteful number, since it uses less digits than its factorization.

65166516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 396 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 65166516 is about 8072.5780268759. The cubic root of 65166516 is about 402.4156241998.

65166516 divided by its sum of digits (36) gives a palindrome (1810181).

The spelling of 65166516 in words is "sixty-five million, one hundred sixty-six thousand, five hundred sixteen".