87186240 has 112 divisors (see below), whose sum is σ = 307604160. Its totient is φ = 23247360.

The previous prime is 87186227. The next prime is 87186257. The reversal of 87186240 is 4268178.

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

It is a junction number, because it is equal to n+sod(n) for n = 87186195 and 87186204.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3595 + ... + 13685.

Almost surely, 2^87186240 is an apocalyptic number.

87186240 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 87186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153802080).

87186240 is an abundant number, since it is smaller than the sum of its proper divisors (220417920).

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

87186240 is a wasteful number, since it uses less digits than its factorization.

87186240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10117 (or 10101 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 87186240 is about 9337.3572278242. The cubic root of 87186240 is about 443.4207200807.

The spelling of 87186240 in words is "eighty-seven million, one hundred eighty-six thousand, two hundred forty".