83970432 has 320 divisors, whose sum is σ = 311018400. Its totient is φ = 21897216.

The previous prime is 83970421. The next prime is 83970449. The reversal of 83970432 is 23407938.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 943444 + ... + 943532.

Almost surely, 2^83970432 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 83970432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155509200).

83970432 is an abundant number, since it is smaller than the sum of its proper divisors (227047968).

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

83970432 is a wasteful number, since it uses less digits than its factorization.

83970432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

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

The square root of 83970432 is about 9163.5381812922. The cubic root of 83970432 is about 437.9005216004.

The spelling of 83970432 in words is "eighty-three million, nine hundred seventy thousand, four hundred thirty-two".