83460880 has 40 divisors (see below), whose sum is σ = 194498712. Its totient is φ = 33306624.

The previous prime is 83460877. The next prime is 83460887. The reversal of 83460880 is 8806438.

It can be written as a sum of positive squares in 4 ways, for example, as 4393216 + 79067664 = 2096^2 + 8892^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (83460887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43624 + ... + 45496.

Almost surely, 2^83460880 is an apocalyptic number.

83460880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83460880 is an abundant number, since it is smaller than the sum of its proper divisors (111037832).

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

83460880 is a wasteful number, since it uses less digits than its factorization.

83460880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 83460880 is about 9135.6926393131. The cubic root of 83460880 is about 437.0129633251.

The spelling of 83460880 in words is "eighty-three million, four hundred sixty thousand, eight hundred eighty".