83410880 has 112 divisors (see below), whose sum is σ = 237012480. Its totient is φ = 27337728.

The previous prime is 83410879. The next prime is 83410897. The reversal of 83410880 is 8801438.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 50711 + ... + 52329.

Almost surely, 2^83410880 is an apocalyptic number.

83410880 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 83410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118506240).

83410880 is an abundant number, since it is smaller than the sum of its proper divisors (153601600).

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

83410880 is a wasteful number, since it uses less digits than its factorization.

83410880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 83410880 is about 9132.9557099550. The cubic root of 83410880 is about 436.9256768700.

The spelling of 83410880 in words is "eighty-three million, four hundred ten thousand, eight hundred eighty".