83631840 has 192 divisors, whose sum is σ = 287509824. Its totient is φ = 20348928.

The previous prime is 83631839. The next prime is 83631871. The reversal of 83631840 is 4813638.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301782 + ... + 302058.

It is an arithmetic number, because the mean of its divisors is an integer number (1497447).

Almost surely, 2^83631840 is an apocalyptic number.

83631840 is a gapful number since it is divisible by the number (80) 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 83631840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143754912).

83631840 is an abundant number, since it is smaller than the sum of its proper divisors (203877984).

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

83631840 is a wasteful number, since it uses less digits than its factorization.

83631840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 83631840 is about 9145.0445597602. The cubic root of 83631840 is about 437.3111500580.

The spelling of 83631840 in words is "eighty-three million, six hundred thirty-one thousand, eight hundred forty".