87854800 has 120 divisors (see below), whose sum is σ = 236359872. Its totient is φ = 31104000.

The previous prime is 87854791. The next prime is 87854813. The reversal of 87854800 is 845878.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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, 180157 + ... + 180643.

Almost surely, 2^87854800 is an apocalyptic number.

87854800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87854800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118179936).

87854800 is an abundant number, since it is smaller than the sum of its proper divisors (148505072).

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

87854800 is a wasteful number, since it uses less digits than its factorization.

87854800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 87854800 is about 9373.0891385925. The cubic root of 87854800 is about 444.5512456296.

The spelling of 87854800 in words is "eighty-seven million, eight hundred fifty-four thousand, eight hundred".