83872950 has 144 divisors (see below), whose sum is σ = 250150656. Its totient is φ = 18216000.

The previous prime is 83872933. The next prime is 83872967. The reversal of 83872950 is 5927838.

It is an interprime number because it is at equal distance from previous prime (83872933) and next prime (83872967).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 555375 + ... + 555525.

Almost surely, 2^83872950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83872950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125075328).

83872950 is an abundant number, since it is smaller than the sum of its proper divisors (166277706).

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

83872950 is a wasteful number, since it uses less digits than its factorization.

83872950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 83872950 is about 9158.2176213497. The cubic root of 83872950 is about 437.7310018181.

The spelling of 83872950 in words is "eighty-three million, eight hundred seventy-two thousand, nine hundred fifty".