65811264 has 56 divisors (see below), whose sum is σ = 179758848. Its totient is φ = 21227520.

The previous prime is 65811259. The next prime is 65811287. The reversal of 65811264 is 46211856.

It is a super-2 number, since 2×65811264² = 8662244938555392, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424 + ... + 11480.

Almost surely, 2^65811264 is an apocalyptic number.

65811264 is a gapful number since it is divisible by the number (64) 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 65811264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89879424).

65811264 is an abundant number, since it is smaller than the sum of its proper divisors (113947584).

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

65811264 is a wasteful number, since it uses less digits than its factorization.

65811264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11103 (or 11093 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 65811264 is about 8112.4141906094. The cubic root of 65811264 is about 403.7384183880.

Multiplying 65811264 by its sum of digits (33), we get a palindrome (2171771712).

The spelling of 65811264 in words is "sixty-five million, eight hundred eleven thousand, two hundred sixty-four".