87150120 has 64 divisors (see below), whose sum is σ = 263805120. Its totient is φ = 23030784.

The previous prime is 87150113. The next prime is 87150127. The reversal of 87150120 is 2105178.

It is an interprime number because it is at equal distance from previous prime (87150113) and next prime (87150127).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (87150127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10347 + ... + 16773.

It is an arithmetic number, because the mean of its divisors is an integer number (4121955).

Almost surely, 2^87150120 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 87150120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131902560).

87150120 is an abundant number, since it is smaller than the sum of its proper divisors (176655000).

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

87150120 is a wasteful number, since it uses less digits than its factorization.

87150120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6554 (or 6550 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 87150120 is about 9335.4228613384. The cubic root of 87150120 is about 443.3594773560.

Adding to 87150120 its reverse (2105178), we get a palindrome (89255298).

The spelling of 87150120 in words is "eighty-seven million, one hundred fifty thousand, one hundred twenty".