83961900 has 216 divisors, whose sum is σ = 297845520. Its totient is φ = 20275200.

The previous prime is 83961883. The next prime is 83961901. The reversal of 83961900 is 916938.

83961900 is a `hidden beast` number, since 8 + 39 + 619 + 0 + 0 = 666.

It is a super-2 number, since 2×83961900² = 14099201303220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83961901) 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, 326572 + ... + 326828.

Almost surely, 2^83961900 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 83961900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148922760).

83961900 is an abundant number, since it is smaller than the sum of its proper divisors (213883620).

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

83961900 is a wasteful number, since it uses less digits than its factorization.

83961900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 83961900 is about 9163.0726287638. The cubic root of 83961900 is about 437.8856898169.

It can be divided in two parts, 8396 and 1900, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 83961900 in words is "eighty-three million, nine hundred sixty-one thousand, nine hundred".