83460480 has 128 divisors (see below), whose sum is σ = 281789280. Its totient is φ = 20938752.

The previous prime is 83460479. The next prime is 83460499. The reversal of 83460480 is 8406438.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31362 + ... + 33918.

Almost surely, 2^83460480 is an apocalyptic number.

83460480 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 83460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140894640).

83460480 is an abundant number, since it is smaller than the sum of its proper divisors (198328800).

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

83460480 is a wasteful number, since it uses less digits than its factorization.

83460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 83460480 is about 9135.6707471318. The cubic root of 83460480 is about 437.0122651718.

The spelling of 83460480 in words is "eighty-three million, four hundred sixty thousand, four hundred eighty".