87290 has 32 divisors (see below), whose sum is σ = 190080. Its totient is φ = 28224.

The previous prime is 87281. The next prime is 87293. The reversal of 87290 is 9278.

87290 = T₄₁ + T₄₂ + ... + T₈₃.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (87293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2009 + ... + 2051.

It is an arithmetic number, because the mean of its divisors is an integer number (5940).

2⁸⁷²⁹⁰ is an apocalyptic number.

87290 is an abundant number, since it is smaller than the sum of its proper divisors (102790).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95040).

87290 is a wasteful number, since it uses less digits than its factorization.

87290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 87290 is about 295.4488111332. The cubic root of 87290 is about 44.3596554762.

The spelling of 87290 in words is "eighty-seven thousand, two hundred ninety".