87306240 has 312 divisors, whose sum is σ = 336158640. Its totient is φ = 19267584.

The previous prime is 87306239. The next prime is 87306251. The reversal of 87306240 is 4260378.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 87306198 and 87306207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3010546 + ... + 3010574.

Almost surely, 2^87306240 is an apocalyptic number.

87306240 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 87306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168079320).

87306240 is an abundant number, since it is smaller than the sum of its proper divisors (248852400).

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

87306240 is a wasteful number, since it uses less digits than its factorization.

87306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 87306240 is about 9343.7808193472. The cubic root of 87306240 is about 443.6240629199.

The spelling of 87306240 in words is "eighty-seven million, three hundred six thousand, two hundred forty".