87390 has 24 divisors (see below), whose sum is σ = 227448. Its totient is φ = 23280.

The previous prime is 87383. The next prime is 87403. The reversal of 87390 is 9378.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396 + ... + 575.

It is an arithmetic number, because the mean of its divisors is an integer number (9477).

2⁸⁷³⁹⁰ is an apocalyptic number.

87390 is an abundant number, since it is smaller than the sum of its proper divisors (140058).

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 (113724).

87390 is a wasteful number, since it uses less digits than its factorization.

87390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 87390 is about 295.6179967458. The cubic root of 87390 is about 44.3765885829.

It can be divided in two parts, 87 and 390, that multiplied together give a triangular number (33930 = T₂₆₀).

The spelling of 87390 in words is "eighty-seven thousand, three hundred ninety".