87353424 has 80 divisors (see below), whose sum is σ = 252116800. Its totient is φ = 28957824.

The previous prime is 87353419. The next prime is 87353437. The reversal of 87353424 is 42435378.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98487 + ... + 99369.

It is an arithmetic number, because the mean of its divisors is an integer number (3151460).

Almost surely, 2^87353424 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 87353424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126058400).

87353424 is an abundant number, since it is smaller than the sum of its proper divisors (164763376).

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

87353424 is a wasteful number, since it uses less digits than its factorization.

87353424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1117 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 87353424 is about 9346.3053662931. The cubic root of 87353424 is about 443.7039662887.

The spelling of 87353424 in words is "eighty-seven million, three hundred fifty-three thousand, four hundred twenty-four".