87420 has 48 divisors (see below), whose sum is σ = 258048. Its totient is φ = 22080.

The previous prime is 87407. The next prime is 87421. The reversal of 87420 is 2478.

87420 = T₁₉ + T₂₀ + ... + T₈₀.

It is a happy number.

It is an Ulam number.

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87420.

It is not an unprimeable number, because it can be changed into a prime (87421) 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, 1837 + ... + 1883.

It is an arithmetic number, because the mean of its divisors is an integer number (5376).

2⁸⁷⁴²⁰ 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 87420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129024).

87420 is an abundant number, since it is smaller than the sum of its proper divisors (170628).

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

87420 is a wasteful number, since it uses less digits than its factorization.

87420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 87420 is about 295.6687335516. The cubic root of 87420 is about 44.3816659959.

Adding to 87420 its reverse (2478), we get a palindrome (89898).

The spelling of 87420 in words is "eighty-seven thousand, four hundred twenty".