87866240 has 128 divisors (see below), whose sum is σ = 262033920. Its totient is φ = 27371520.

The previous prime is 87866227. The next prime is 87866257. The reversal of 87866240 is 4266878.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×87866240² = 15440952263475200, which contains 22 as substring.

It is a nialpdrome in base 14.

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 15 ways as a sum of consecutive naturals, for example, 48389 + ... + 50171.

It is an arithmetic number, because the mean of its divisors is an integer number (2047140).

Almost surely, 2^87866240 is an apocalyptic number.

87866240 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 87866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131016960).

87866240 is an abundant number, since it is smaller than the sum of its proper divisors (174167680).

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

87866240 is a wasteful number, since it uses less digits than its factorization.

87866240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 87866240 is about 9373.6993764468. The cubic root of 87866240 is about 444.5705405174.

The spelling of 87866240 in words is "eighty-seven million, eight hundred sixty-six thousand, two hundred forty".