83091456 has 252 divisors, whose sum is σ = 291355272. Its totient is φ = 22708224.

The previous prime is 83091329. The next prime is 83091469. The reversal of 83091456 is 65419038.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a self number, because there is not a number n which added to its sum of digits gives 83091456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3612661 + ... + 3612683.

Almost surely, 2^83091456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83091456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145677636).

83091456 is an abundant number, since it is smaller than the sum of its proper divisors (208263816).

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

83091456 is a wasteful number, since it uses less digits than its factorization.

83091456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 83091456 is about 9115.4514973204. The cubic root of 83091456 is about 436.3672242129.

The spelling of 83091456 in words is "eighty-three million, ninety-one thousand, four hundred fifty-six".