87355800 has 192 divisors, whose sum is σ = 344025600. Its totient is φ = 19958400.

The previous prime is 87355783. The next prime is 87355823. The reversal of 87355800 is 855378.

It is a happy number.

87355800 is a `hidden beast` number, since 8 + 73 + 5 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 36645 + ... + 38955.

It is an arithmetic number, because the mean of its divisors is an integer number (1791800).

Almost surely, 2^87355800 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 87355800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172012800).

87355800 is an abundant number, since it is smaller than the sum of its proper divisors (256669800).

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

87355800 is a wasteful number, since it uses less digits than its factorization.

87355800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 87355800 is about 9346.4324744792. The cubic root of 87355800 is about 443.7079891459.

It can be divided in two parts, 8735 and 5800, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 87355800 in words is "eighty-seven million, three hundred fifty-five thousand, eight hundred".