83420480 has 112 divisors (see below), whose sum is σ = 233501184. Its totient is φ = 27985920.

The previous prime is 83420461. The next prime is 83420497. The reversal of 83420480 is 8402438.

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, 44849 + ... + 46671.

It is an arithmetic number, because the mean of its divisors is an integer number (2084832).

Almost surely, 2^83420480 is an apocalyptic number.

83420480 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 83420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116750592).

83420480 is an abundant number, since it is smaller than the sum of its proper divisors (150080704).

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

83420480 is a wasteful number, since it uses less digits than its factorization.

83420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 83420480 is about 9133.4812640088. The cubic root of 83420480 is about 436.9424385746.

The spelling of 83420480 in words is "eighty-three million, four hundred twenty thousand, four hundred eighty".