87366240 has 216 divisors, whose sum is σ = 323734320. Its totient is φ = 21445632.

The previous prime is 87366229. The next prime is 87366263. The reversal of 87366240 is 4266378.

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 = 87366195 and 87366204.

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 35 ways as a sum of consecutive naturals, for example, 243181 + ... + 243539.

It is an arithmetic number, because the mean of its divisors is an integer number (1498770).

Almost surely, 2^87366240 is an apocalyptic number.

87366240 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 87366240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161867160).

87366240 is an abundant number, since it is smaller than the sum of its proper divisors (236368080).

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

87366240 is a wasteful number, since it uses less digits than its factorization.

87366240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 87366240 is about 9346.9909596618. The cubic root of 87366240 is about 443.7256644725.

The spelling of 87366240 in words is "eighty-seven million, three hundred sixty-six thousand, two hundred forty".