83964762 has 112 divisors (see below), whose sum is σ = 227693760. Its totient is φ = 22674816.

The previous prime is 83964733. The next prime is 83964779. The reversal of 83964762 is 26746938.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 193698 + ... + 194130.

It is an arithmetic number, because the mean of its divisors is an integer number (2032980).

Almost surely, 2^83964762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83964762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113846880).

83964762 is an abundant number, since it is smaller than the sum of its proper divisors (143728998).

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

83964762 is a wasteful number, since it uses less digits than its factorization.

83964762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 464 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 83964762 is about 9163.2287977546. The cubic root of 83964762 is about 437.8906651474.

The spelling of 83964762 in words is "eighty-three million, nine hundred sixty-four thousand, seven hundred sixty-two".