83898400 has 144 divisors (see below), whose sum is σ = 224985600. Its totient is φ = 30412800.

The previous prime is 83898371. The next prime is 83898427. The reversal of 83898400 is 489838.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421501 + ... + 421699.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^83898400 is an apocalyptic number.

83898400 is a gapful number since it is divisible by the number (80) 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 83898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

83898400 is an abundant number, since it is smaller than the sum of its proper divisors (141087200).

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

83898400 is a wasteful number, since it uses less digits than its factorization.

83898400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 83898400 is about 9159.6069784680. The cubic root of 83898400 is about 437.7752716628.

The spelling of 83898400 in words is "eighty-three million, eight hundred ninety-eight thousand, four hundred".