83903364 has 60 divisors (see below), whose sum is σ = 232257564. Its totient is φ = 26320896.

The previous prime is 83903341. The next prime is 83903371. The reversal of 83903364 is 46330938.

It can be written as a sum of positive squares in 2 ways, for example, as 38340864 + 45562500 = 6192^2 + 6750^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2109 + ... + 13124.

Almost surely, 2^83903364 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 83903364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116128782).

83903364 is an abundant number, since it is smaller than the sum of its proper divisors (148354200).

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

83903364 is a wasteful number, since it uses less digits than its factorization.

83903364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15266 (or 15255 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 83903364 is about 9159.8779467851. The cubic root of 83903364 is about 437.7839054134.

The spelling of 83903364 in words is "eighty-three million, nine hundred three thousand, three hundred sixty-four".