83275920 has 480 divisors, whose sum is σ = 363976704. Its totient is φ = 16588800.

The previous prime is 83275909. The next prime is 83275931. The reversal of 83275920 is 2957238.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83275909) and next prime (83275931).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2031100 + ... + 2031140.

Almost surely, 2^83275920 is an apocalyptic number.

83275920 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 83275920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181988352).

83275920 is an abundant number, since it is smaller than the sum of its proper divisors (280700784).

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

83275920 is a wasteful number, since it uses less digits than its factorization.

83275920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 83275920 is about 9125.5640921534. The cubic root of 83275920 is about 436.6898989899.

The spelling of 83275920 in words is "eighty-three million, two hundred seventy-five thousand, nine hundred twenty".