87434800 has 60 divisors (see below), whose sum is σ = 211166296. Its totient is φ = 34790400.

The previous prime is 87434783. The next prime is 87434833. The reversal of 87434800 is 843478.

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 11 ways as a sum of consecutive naturals, for example, 95947 + ... + 96853.

Almost surely, 2^87434800 is an apocalyptic number.

87434800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87434800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105583148).

87434800 is an abundant number, since it is smaller than the sum of its proper divisors (123731496).

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

87434800 is a wasteful number, since it uses less digits than its factorization.

87434800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 87434800 is about 9350.6577308765. The cubic root of 87434800 is about 443.8417042504.

The spelling of 87434800 in words is "eighty-seven million, four hundred thirty-four thousand, eight hundred".