87031800 has 192 divisors, whose sum is σ = 305337600. Its totient is φ = 22780800.

The previous prime is 87031759. The next prime is 87031817. The reversal of 87031800 is 813078.

It is a super-2 number, since 2×87031800² = 15149068422480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383287 + ... + 383513.

It is an arithmetic number, because the mean of its divisors is an integer number (1590300).

Almost surely, 2^87031800 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 87031800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152668800).

87031800 is an abundant number, since it is smaller than the sum of its proper divisors (218305800).

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

87031800 is a wasteful number, since it uses less digits than its factorization.

87031800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 87031800 is about 9329.0835562771. The cubic root of 87031800 is about 443.1587430697.

Adding to 87031800 its reverse (813078), we get a palindrome (87844878).

The spelling of 87031800 in words is "eighty-seven million, thirty-one thousand, eight hundred".