83941200 has 180 divisors, whose sum is σ = 333013408. Its totient is φ = 19180800.

The previous prime is 83941199. The next prime is 83941217. The reversal of 83941200 is 214938.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×83941200² = 14092250114880000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23535 + ... + 26865.

Almost surely, 2^83941200 is an apocalyptic number.

83941200 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 83941200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166506704).

83941200 is an abundant number, since it is smaller than the sum of its proper divisors (249072208).

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

83941200 is a wasteful number, since it uses less digits than its factorization.

83941200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 83941200 is about 9161.9430253631. The cubic root of 83941200 is about 437.8497013555.

The spelling of 83941200 in words is "eighty-three million, nine hundred forty-one thousand, two hundred".