83198720 has 144 divisors (see below), whose sum is σ = 229582080. Its totient is φ = 28569600.

The previous prime is 83198683. The next prime is 83198729. The reversal of 83198720 is 2789138.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83198729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267365 + ... + 267675.

It is an arithmetic number, because the mean of its divisors is an integer number (1594320).

Almost surely, 2^83198720 is an apocalyptic number.

83198720 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 83198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114791040).

83198720 is an abundant number, since it is smaller than the sum of its proper divisors (146383360).

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

83198720 is a wasteful number, since it uses less digits than its factorization.

83198720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 83198720 is about 9121.3332358817. Note that the first 3 decimals coincide. The cubic root of 83198720 is about 436.5549144583.

The spelling of 83198720 in words is "eighty-three million, one hundred ninety-eight thousand, seven hundred twenty".