65135664 has 120 divisors (see below), whose sum is σ = 206361792. Its totient is φ = 19725120.

The previous prime is 65135657. The next prime is 65135671. The reversal of 65135664 is 46653156.

It is an interprime number because it is at equal distance from previous prime (65135657) and next prime (65135671).

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

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

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, 42007 + ... + 43529.

Almost surely, 2^65135664 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 65135664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103180896).

65135664 is an abundant number, since it is smaller than the sum of its proper divisors (141226128).

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

65135664 is a wasteful number, since it uses less digits than its factorization.

65135664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1539 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 65135664 is about 8070.6668869431. Note that the first 3 decimals coincide. The cubic root of 65135664 is about 402.3521085204.

It can be divided in two parts, 651 and 35664, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 65135664 in words is "sixty-five million, one hundred thirty-five thousand, six hundred sixty-four".