87001020 has 96 divisors (see below), whose sum is σ = 272025600. Its totient is φ = 23084352.

The previous prime is 87001003. The next prime is 87001021. The reversal of 87001020 is 2010078.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 87000984 and 87001002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87001021) 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, 197961 + ... + 198399.

It is an arithmetic number, because the mean of its divisors is an integer number (2833600).

Almost surely, 2^87001020 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 87001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136012800).

87001020 is an abundant number, since it is smaller than the sum of its proper divisors (185024580).

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

87001020 is a wasteful number, since it uses less digits than its factorization.

87001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 87001020 is about 9327.4337306678. The cubic root of 87001020 is about 443.1064938364.

Adding to 87001020 its reverse (2010078), we get a palindrome (89011098).

The spelling of 87001020 in words is "eighty-seven million, one thousand, twenty".