87353344 has 96 divisors (see below), whose sum is σ = 200196360. Its totient is φ = 37748736.

The previous prime is 87353323. The next prime is 87353347. The reversal of 87353344 is 44335378.

It can be written as a sum of positive squares in 4 ways, for example, as 61465600 + 25887744 = 7840^2 + 5088^2 .

It is not an unprimeable number, because it can be changed into a prime (87353347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452512 + ... + 452704.

Almost surely, 2^87353344 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 87353344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100098180).

87353344 is an abundant number, since it is smaller than the sum of its proper divisors (112843016).

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

87353344 is a wasteful number, since it uses less digits than its factorization.

87353344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 225 counting only the distinct ones).

The product of its digits is 120960, while the sum is 37.

The square root of 87353344 is about 9346.3010865262. The cubic root of 87353344 is about 443.7038308377.

The spelling of 87353344 in words is "eighty-seven million, three hundred fifty-three thousand, three hundred forty-four".