87290900 has 36 divisors (see below), whose sum is σ = 190591968. Its totient is φ = 34700640.

The previous prime is 87290873. The next prime is 87290909. The reversal of 87290900 is 909278.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87290909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14087 + ... + 19313.

Almost surely, 2^87290900 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 87290900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95295984).

87290900 is an abundant number, since it is smaller than the sum of its proper divisors (103301068).

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

87290900 is a wasteful number, since it uses less digits than its factorization.

87290900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5408 (or 5401 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 87290900 is about 9342.9599164291. The cubic root of 87290900 is about 443.5980793181.

The spelling of 87290900 in words is "eighty-seven million, two hundred ninety thousand, nine hundred".