83269680 has 120 divisors (see below), whose sum is σ = 279656208. Its totient is φ = 20487168.

The previous prime is 83269663. The next prime is 83269717. The reversal of 83269680 is 8696238.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39534 + ... + 41586.

Almost surely, 2^83269680 is an apocalyptic number.

83269680 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 83269680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139828104).

83269680 is an abundant number, since it is smaller than the sum of its proper divisors (196386528).

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

83269680 is a wasteful number, since it uses less digits than its factorization.

83269680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 83269680 is about 9125.2221890757. Note that the first 3 decimals coincide. The cubic root of 83269680 is about 436.6789914229.

The spelling of 83269680 in words is "eighty-three million, two hundred sixty-nine thousand, six hundred eighty".