83994624 has 288 divisors, whose sum is σ = 298771200. Its totient is φ = 23224320.

The previous prime is 83994623. The next prime is 83994629. The reversal of 83994624 is 42649938.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 83994624.

It is not an unprimeable number, because it can be changed into a prime (83994623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2709489 + ... + 2709519.

It is an arithmetic number, because the mean of its divisors is an integer number (1037400).

Almost surely, 2^83994624 is an apocalyptic number.

83994624 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 83994624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149385600).

83994624 is an abundant number, since it is smaller than the sum of its proper divisors (214776576).

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

83994624 is a wasteful number, since it uses less digits than its factorization.

83994624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 43 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 83994624 is about 9164.8581003745. The cubic root of 83994624 is about 437.9425708153.

The spelling of 83994624 in words is "eighty-three million, nine hundred ninety-four thousand, six hundred twenty-four".