83867680 has 96 divisors (see below), whose sum is σ = 217204848. Its totient is φ = 30412800.

The previous prime is 83867671. The next prime is 83867689. The reversal of 83867680 is 8676838.

It is an interprime number because it is at equal distance from previous prime (83867671) and next prime (83867689).

It can be written as a sum of positive squares in 8 ways, for example, as 11209104 + 72658576 = 3348^2 + 8524^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 83867680.

It is not an unprimeable number, because it can be changed into a prime (83867689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126550 + ... + 127210.

Almost surely, 2^83867680 is an apocalyptic number.

83867680 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 83867680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108602424).

83867680 is an abundant number, since it is smaller than the sum of its proper divisors (133337168).

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

83867680 is a wasteful number, since it uses less digits than its factorization.

83867680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 83867680 is about 9157.9298970892. The cubic root of 83867680 is about 437.7218336231.

The spelling of 83867680 in words is "eighty-three million, eight hundred sixty-seven thousand, six hundred eighty".