83443680 has 72 divisors (see below), whose sum is σ = 284756472. Its totient is φ = 22251264.

The previous prime is 83443639. The next prime is 83443681. The reversal of 83443680 is 8634438.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83443681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27534 + ... + 30413.

It is an arithmetic number, because the mean of its divisors is an integer number (3954951).

Almost surely, 2^83443680 is an apocalyptic number.

83443680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83443680 is an abundant number, since it is smaller than the sum of its proper divisors (201312792).

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

83443680 is a wasteful number, since it uses less digits than its factorization.

83443680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57968 (or 57957 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 83443680 is about 9134.7512281397. The cubic root of 83443680 is about 436.9829407190.

The spelling of 83443680 in words is "eighty-three million, four hundred forty-three thousand, six hundred eighty".