87259200 has 336 divisors, whose sum is σ = 340156800. Its totient is φ = 19568640.

The previous prime is 87259189. The next prime is 87259201. The reversal of 87259200 is 295278.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×87259200² = 15228335969280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87259201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1646374 + ... + 1646426.

Almost surely, 2^87259200 is an apocalyptic number.

87259200 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 87259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170078400).

87259200 is an abundant number, since it is smaller than the sum of its proper divisors (252897600).

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

87259200 is a wasteful number, since it uses less digits than its factorization.

87259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 87259200 is about 9341.2632978629. The cubic root of 87259200 is about 443.5443747445.

The spelling of 87259200 in words is "eighty-seven million, two hundred fifty-nine thousand, two hundred".