83604300 has 216 divisors, whose sum is σ = 280200816. Its totient is φ = 19169280.

The previous prime is 83604271. The next prime is 83604307. The reversal of 83604300 is 340638.

It is not an unprimeable number, because it can be changed into a prime (83604307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 861852 + ... + 861948.

It is an arithmetic number, because the mean of its divisors is an integer number (1297226).

Almost surely, 2^83604300 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 83604300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140100408).

83604300 is an abundant number, since it is smaller than the sum of its proper divisors (196596516).

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

83604300 is a wasteful number, since it uses less digits than its factorization.

83604300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 83604300 is about 9143.5387022750. The cubic root of 83604300 is about 437.2631425395.

Adding to 83604300 its reverse (340638), we get a palindrome (83944938).

The spelling of 83604300 in words is "eighty-three million, six hundred four thousand, three hundred".