87818040 has 256 divisors, whose sum is σ = 314265600. Its totient is φ = 21772800.

The previous prime is 87818033. The next prime is 87818089. The reversal of 87818040 is 4081878.

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 = 87817986 and 87818004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1439610 + ... + 1439670.

It is an arithmetic number, because the mean of its divisors is an integer number (1227600).

Almost surely, 2^87818040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87818040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157132800).

87818040 is an abundant number, since it is smaller than the sum of its proper divisors (226447560).

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

87818040 is a wasteful number, since it uses less digits than its factorization.

87818040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 87818040 is about 9371.1280004064. The cubic root of 87818040 is about 444.4892342824.

The spelling of 87818040 in words is "eighty-seven million, eight hundred eighteen thousand, forty".