65864832 has 128 divisors (see below), whose sum is σ = 197406720. Its totient is φ = 19276800.

The previous prime is 65864803. The next prime is 65864839. The reversal of 65864832 is 23846856.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (65864839) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130693 + ... + 131195.

It is an arithmetic number, because the mean of its divisors is an integer number (1542240).

Almost surely, 2^65864832 is an apocalyptic number.

65864832 is a gapful number since it is divisible by the number (62) 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 65864832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98703360).

65864832 is an abundant number, since it is smaller than the sum of its proper divisors (131541888).

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

65864832 is a wasteful number, since it uses less digits than its factorization.

65864832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 550 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 65864832 is about 8115.7151256066. The cubic root of 65864832 is about 403.8479315268.

The spelling of 65864832 in words is "sixty-five million, eight hundred sixty-four thousand, eight hundred thirty-two".