83487456 has 96 divisors (see below), whose sum is σ = 262271520. Its totient is φ = 25684992.

The previous prime is 83487449. The next prime is 83487473. The reversal of 83487456 is 65478438.

It is a tau number, because it is divible by the number of its divisors (96).

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, 7516 + ... + 14948.

It is an arithmetic number, because the mean of its divisors is an integer number (2731995).

Almost surely, 2^83487456 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 83487456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131135760).

83487456 is an abundant number, since it is smaller than the sum of its proper divisors (178784064).

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

83487456 is a wasteful number, since it uses less digits than its factorization.

83487456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7465 (or 7451 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 83487456 is about 9137.1470383266. The cubic root of 83487456 is about 437.0593436332.

The spelling of 83487456 in words is "eighty-three million, four hundred eighty-seven thousand, four hundred fifty-six".