83764736 has 80 divisors (see below), whose sum is σ = 185613120. Its totient is φ = 37447680.

The previous prime is 83764721. The next prime is 83764739. The reversal of 83764736 is 63746738.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83764739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 602555 + ... + 602693.

It is an arithmetic number, because the mean of its divisors is an integer number (2320164).

Almost surely, 2^83764736 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 83764736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92806560).

83764736 is an abundant number, since it is smaller than the sum of its proper divisors (101848384).

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

83764736 is a wasteful number, since it uses less digits than its factorization.

83764736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 259 counting only the distinct ones).

The product of its digits is 508032, while the sum is 44.

The square root of 83764736 is about 9152.3076871355. The cubic root of 83764736 is about 437.5426653357.

The spelling of 83764736 in words is "eighty-three million, seven hundred sixty-four thousand, seven hundred thirty-six".