65874132 has 72 divisors (see below), whose sum is σ = 174650112. Its totient is φ = 20908800.

The previous prime is 65874103. The next prime is 65874143. The reversal of 65874132 is 23147856.

65874132 is a `hidden beast` number, since 6 + 587 + 41 + 32 = 666.

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

It is a congruent number.

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, 74332 + ... + 75212.

It is an arithmetic number, because the mean of its divisors is an integer number (2425696).

Almost surely, 2^65874132 is an apocalyptic number.

65874132 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 65874132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87325056).

65874132 is an abundant number, since it is smaller than the sum of its proper divisors (108775980).

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

65874132 is a wasteful number, since it uses less digits than its factorization.

65874132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 984 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 65874132 is about 8116.2880678300. The cubic root of 65874132 is about 403.8669381747.

The spelling of 65874132 in words is "sixty-five million, eight hundred seventy-four thousand, one hundred thirty-two".