91683400 has 48 divisors (see below), whose sum is σ = 213909300. Its totient is φ = 36545280.

The previous prime is 91683391. The next prime is 91683407. The reversal of 91683400 is 438619.

It can be written as a sum of positive squares in 6 ways, for example, as 64995844 + 26687556 = 8062^2 + 5166^2 .

It is not an unprimeable number, because it can be changed into a prime (91683407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73986 + ... + 75214.

Almost surely, 2^91683400 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 91683400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106954650).

91683400 is an abundant number, since it is smaller than the sum of its proper divisors (122225900).

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

91683400 is a wasteful number, since it uses less digits than its factorization.

91683400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 91683400 is about 9575.1449075197. The cubic root of 91683400 is about 450.9173057955.

The spelling of 91683400 in words is "ninety-one million, six hundred eighty-three thousand, four hundred".