65164140 has 72 divisors (see below), whose sum is σ = 198966768. Its totient is φ = 17262720.

The previous prime is 65164103. The next prime is 65164157. The reversal of 65164140 is 4146156.

65164140 is a `hidden beast` number, since 6 + 516 + 4 + 140 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28230 + ... + 30450.

Almost surely, 2^65164140 is an apocalyptic number.

65164140 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 65164140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99483384).

65164140 is an abundant number, since it is smaller than the sum of its proper divisors (133802628).

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

65164140 is a wasteful number, since it uses less digits than its factorization.

65164140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 65164140 is about 8072.4308606516. The cubic root of 65164140 is about 402.4107333898.

The spelling of 65164140 in words is "sixty-five million, one hundred sixty-four thousand, one hundred forty".