87354496 has 64 divisors (see below), whose sum is σ = 182590200. Its totient is φ = 41574400.

The previous prime is 87354493. The next prime is 87354499. The reversal of 87354496 is 69445378.

It is an interprime number because it is at equal distance from previous prime (87354493) and next prime (87354499).

It can be written as a sum of positive squares in 4 ways, for example, as 82156096 + 5198400 = 9064^2 + 2280^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87354493) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 374796 + ... + 375028.

Almost surely, 2^87354496 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 87354496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91295100).

87354496 is an abundant number, since it is smaller than the sum of its proper divisors (95235704).

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

87354496 is a wasteful number, since it uses less digits than its factorization.

87354496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 87354496 is about 9346.3627149817. The cubic root of 87354496 is about 443.7057813242.

It can be divided in two parts, 8735 and 4496, that added together give a palindrome (13231).

The spelling of 87354496 in words is "eighty-seven million, three hundred fifty-four thousand, four hundred ninety-six".