893986632 has 640 divisors, whose sum is σ = 3512678400. Its totient is φ = 205286400.

The previous prime is 893986627. The next prime is 893986661. The reversal of 893986632 is 236689398.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21804532 + ... + 21804572.

It is an arithmetic number, because the mean of its divisors is an integer number (5488560).

Almost surely, 2^893986632 is an apocalyptic number.

893986632 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 893986632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756339200).

893986632 is an abundant number, since it is smaller than the sum of its proper divisors (2618691768).

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

893986632 is a wasteful number, since it uses less digits than its factorization.

893986632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 106 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 893986632 is about 29899.6092282157. The cubic root of 893986632 is about 963.3342654200.

The spelling of 893986632 in words is "eight hundred ninety-three million, nine hundred eighty-six thousand, six hundred thirty-two".