801367632 has 240 divisors, whose sum is σ = 2533619088. Its totient is φ = 234823680.

The previous prime is 801367603. The next prime is 801367649. The reversal of 801367632 is 236763108.

It is a happy number.

801367632 is a `hidden beast` number, since 8 + 0 + 13 + 6 + 7 + 632 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1382976 + 799984656 = 1176^2 + 28284^2 .

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 47 ways as a sum of consecutive naturals, for example, 4067758 + ... + 4067954.

Almost surely, 2^801367632 is an apocalyptic number.

801367632 is a gapful number since it is divisible by the number (82) 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 801367632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266809544).

801367632 is an abundant number, since it is smaller than the sum of its proper divisors (1732251456).

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

801367632 is a wasteful number, since it uses less digits than its factorization.

801367632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 801367632 is about 28308.4374701254. The cubic root of 801367632 is about 928.8464643453.

The spelling of 801367632 in words is "eight hundred one million, three hundred sixty-seven thousand, six hundred thirty-two".