83764950 has 96 divisors (see below), whose sum is σ = 222735744. Its totient is φ = 20759040.

The previous prime is 83764943. The next prime is 83764957. The reversal of 83764950 is 5946738.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83764943) and next prime (83764957).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83764957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272697 + ... + 273003.

It is an arithmetic number, because the mean of its divisors is an integer number (2320164).

Almost surely, 2^83764950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83764950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111367872).

83764950 is an abundant number, since it is smaller than the sum of its proper divisors (138970794).

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

83764950 is a wasteful number, since it uses less digits than its factorization.

83764950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 83764950 is about 9152.3193781686. The cubic root of 83764950 is about 437.5430379430.

The spelling of 83764950 in words is "eighty-three million, seven hundred sixty-four thousand, nine hundred fifty".