865141632 has 96 divisors (see below), whose sum is σ = 2495372880. Its totient is φ = 287705088.

The previous prime is 865141621. The next prime is 865141633. The reversal of 865141632 is 236141568.

It is a happy number.

865141632 is a `hidden beast` number, since 8 + 6 + 5 + 14 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (865141633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 836988 + ... + 838020.

Almost surely, 2^865141632 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 865141632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247686440).

865141632 is an abundant number, since it is smaller than the sum of its proper divisors (1630231248).

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

865141632 is a wasteful number, since it uses less digits than its factorization.

865141632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1765 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 865141632 is about 29413.2900573873. The cubic root of 865141632 is about 952.8599437359.

The spelling of 865141632 in words is "eight hundred sixty-five million, one hundred forty-one thousand, six hundred thirty-two".