83911680 has 176 divisors, whose sum is σ = 298698240. Its totient is φ = 22339584.

The previous prime is 83911673. The next prime is 83911687. The reversal of 83911680 is 8611938.

It is an interprime number because it is at equal distance from previous prime (83911673) and next prime (83911687).

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

It is not an unprimeable number, because it can be changed into a prime (83911687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137937 + ... + 138543.

Almost surely, 2^83911680 is an apocalyptic number.

83911680 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 83911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149349120).

83911680 is an abundant number, since it is smaller than the sum of its proper divisors (214786560).

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

83911680 is a wasteful number, since it uses less digits than its factorization.

83911680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 83911680 is about 9160.3318717173. The cubic root of 83911680 is about 437.7983684437.

The spelling of 83911680 in words is "eighty-three million, nine hundred eleven thousand, six hundred eighty".