872410 has 48 divisors (see below), whose sum is σ = 1991808. Its totient is φ = 269280.

The previous prime is 872393. The next prime is 872411. The reversal of 872410 is 14278.

It is a super-2 number, since 2×872410² = 1522198416200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8419 + ... + 8521.

It is an arithmetic number, because the mean of its divisors is an integer number (41496).

2⁸⁷²⁴¹⁰ is an apocalyptic number.

872410 is an abundant number, since it is smaller than the sum of its proper divisors (1119398).

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

872410 is a wasteful number, since it uses less digits than its factorization.

872410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 872410 is about 934.0289074756. The cubic root of 872410 is about 95.5520946005.

Adding to 872410 its reverse (14278), we get a palindrome (886688).

The spelling of 872410 in words is "eight hundred seventy-two thousand, four hundred ten".