87400 has 48 divisors (see below), whose sum is σ = 223200. Its totient is φ = 31680.

The previous prime is 87383. The next prime is 87403. The reversal of 87400 is 478.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a plaindrome in base 14 and base 16.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (87403) 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, 3789 + ... + 3811.

It is an arithmetic number, because the mean of its divisors is an integer number (4650).

2⁸⁷⁴⁰⁰ 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 87400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111600).

87400 is an abundant number, since it is smaller than the sum of its proper divisors (135800).

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

87400 is a wasteful number, since it uses less digits than its factorization.

87400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 87400 is about 295.6349099819. The cubic root of 87400 is about 44.3782811830.

Adding to 87400 its reverse (478), we get a palindrome (87878).

The spelling of 87400 in words is "eighty-seven thousand, four hundred".