87018240 has 288 divisors, whose sum is σ = 310818816. Its totient is φ = 20643840.

The previous prime is 87018221. The next prime is 87018247. The reversal of 87018240 is 4281078.

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 = 87018198 and 87018207.

It is not an unprimeable number, because it can be changed into a prime (87018247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2023659 + ... + 2023701.

It is an arithmetic number, because the mean of its divisors is an integer number (1079232).

Almost surely, 2^87018240 is an apocalyptic number.

87018240 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 87018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155409408).

87018240 is an abundant number, since it is smaller than the sum of its proper divisors (223800576).

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

87018240 is a wasteful number, since it uses less digits than its factorization.

87018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 87018240 is about 9328.3567684775. The cubic root of 87018240 is about 443.1357264073.

It can be divided in two parts, 870 and 18240, that added together give a triangular number (19110 = T₁₉₅).

The spelling of 87018240 in words is "eighty-seven million, eighteen thousand, two hundred forty".