83674560 has 112 divisors (see below), whose sum is σ = 271979136. Its totient is φ = 21783552.

The previous prime is 83674559. The next prime is 83674573. The reversal of 83674560 is 6547638.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40267 + ... + 42293.

Almost surely, 2^83674560 is an apocalyptic number.

83674560 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 83674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135989568).

83674560 is an abundant number, since it is smaller than the sum of its proper divisors (188304576).

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

83674560 is a wasteful number, since it uses less digits than its factorization.

83674560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 83674560 is about 9147.3799527515. The cubic root of 83674560 is about 437.3855983871.

The spelling of 83674560 in words is "eighty-three million, six hundred seventy-four thousand, five hundred sixty".