87434496 has 108 divisors (see below), whose sum is σ = 254852052. Its totient is φ = 28827648.

The previous prime is 87434491. The next prime is 87434513. The reversal of 87434496 is 69443478.

It can be written as a sum of positive squares in 2 ways, for example, as 32080896 + 55353600 = 5664^2 + 7440^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87434491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 315510 + ... + 315786.

Almost surely, 2^87434496 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 87434496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127426026).

87434496 is an abundant number, since it is smaller than the sum of its proper divisors (167417556).

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

87434496 is a wasteful number, since it uses less digits than its factorization.

87434496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 419 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 87434496 is about 9350.6414753214. The cubic root of 87434496 is about 443.8411898555.

The spelling of 87434496 in words is "eighty-seven million, four hundred thirty-four thousand, four hundred ninety-six".