83331864 has 96 divisors (see below), whose sum is σ = 281399040. Its totient is φ = 21643200.

The previous prime is 83331863. The next prime is 83331869. The reversal of 83331864 is 46813338.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83331863) 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, 1972 + ... + 13059.

It is an arithmetic number, because the mean of its divisors is an integer number (2931240).

Almost surely, 2^83331864 is an apocalyptic number.

83331864 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 83331864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140699520).

83331864 is an abundant number, since it is smaller than the sum of its proper divisors (198067176).

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

83331864 is a wasteful number, since it uses less digits than its factorization.

83331864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15061 (or 15054 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 83331864 is about 9128.6288126969. The cubic root of 83331864 is about 436.7876651913.

The spelling of 83331864 in words is "eighty-three million, three hundred thirty-one thousand, eight hundred sixty-four".