87215040 has 168 divisors, whose sum is σ = 327373488. Its totient is φ = 21135360.

The previous prime is 87215021. The next prime is 87215041. The reversal of 87215040 is 4051278.

It is a junction number, because it is equal to n+sod(n) for n = 87214995 and 87215013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87215041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30304 + ... + 33056.

Almost surely, 2^87215040 is an apocalyptic number.

87215040 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 87215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163686744).

87215040 is an abundant number, since it is smaller than the sum of its proper divisors (240158448).

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

87215040 is a wasteful number, since it uses less digits than its factorization.

87215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 87215040 is about 9338.8992927432. The cubic root of 87215040 is about 443.4695393701.

The spelling of 87215040 in words is "eighty-seven million, two hundred fifteen thousand, forty".