83687760 has 120 divisors (see below), whose sum is σ = 302704584. Its totient is φ = 20597760.

The previous prime is 83687759. The next prime is 83687797. The reversal of 83687760 is 6778638.

It can be written as a sum of positive squares in 4 ways, for example, as 3549456 + 80138304 = 1884^2 + 8952^2 .

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 4890 + ... + 13830.

Almost surely, 2^83687760 is an apocalyptic number.

83687760 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 83687760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151352292).

83687760 is an abundant number, since it is smaller than the sum of its proper divisors (219016824).

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

83687760 is a wasteful number, since it uses less digits than its factorization.

83687760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8973 (or 8964 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 83687760 is about 9148.1014423759. The cubic root of 83687760 is about 437.4085969597.

The spelling of 83687760 in words is "eighty-three million, six hundred eighty-seven thousand, seven hundred sixty".