83394864 has 180 divisors, whose sum is σ = 277857216. Its totient is φ = 23272704.

The previous prime is 83394821. The next prime is 83394881. The reversal of 83394864 is 46849338.

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

Its product of digits (497664) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 373857 + ... + 374079.

Almost surely, 2^83394864 is an apocalyptic number.

83394864 is a gapful number since it is divisible by the number (84) 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 83394864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138928608).

83394864 is an abundant number, since it is smaller than the sum of its proper divisors (194462352).

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

83394864 is a wasteful number, since it uses less digits than its factorization.

83394864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 83394864 is about 9132.0788432865. The cubic root of 83394864 is about 436.8977098966.

It can be divided in two parts, 8339 and 4864, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 83394864 in words is "eighty-three million, three hundred ninety-four thousand, eight hundred sixty-four".