88410 has 32 divisors (see below), whose sum is σ = 243072. Its totient is φ = 20160.

The previous prime is 88397. The next prime is 88411. The reversal of 88410 is 1488.

88410 is a nontrivial binomial coefficient, being equal to C(421, 2).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (88411) by changing a digit.

88410 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 420.

It is an arithmetic number, because the mean of its divisors is an integer number (7596).

2⁸⁸⁴¹⁰ is an apocalyptic number.

88410 is the 420-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121536).

88410 is an abundant number, since it is smaller than the sum of its proper divisors (154662).

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

88410 is a wasteful number, since it uses less digits than its factorization.

88410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438.

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 88410 is about 297.3381912907. The cubic root of 88410 is about 44.5485729772.

Adding to 88410 its reverse (1488), we get a palindrome (89898).

The spelling of 88410 in words is "eighty-eight thousand, four hundred ten".