83976200 has 288 divisors, whose sum is σ = 267170400. Its totient is φ = 24192000.

The previous prime is 83976187. The next prime is 83976223. The reversal of 83976200 is 267938.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2048180 + ... + 2048220.

It is an arithmetic number, because the mean of its divisors is an integer number (927675).

Almost surely, 2^83976200 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 83976200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133585200).

83976200 is an abundant number, since it is smaller than the sum of its proper divisors (183194200).

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

83976200 is a wasteful number, since it uses less digits than its factorization.

83976200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 83976200 is about 9163.8529014820. The cubic root of 83976200 is about 437.9105479565.

It can be divided in two parts, 8 and 3976200, that multiplied together give a square (31809600 = 5640²).

The spelling of 83976200 in words is "eighty-three million, nine hundred seventy-six thousand, two hundred".