87289020 has 216 divisors, whose sum is σ = 330404256. Its totient is φ = 18164736.

The previous prime is 87289019. The next prime is 87289051. The reversal of 87289020 is 2098278.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1195704 + ... + 1195776.

Almost surely, 2^87289020 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 87289020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165202128).

87289020 is an abundant number, since it is smaller than the sum of its proper divisors (243115236).

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

87289020 is a wasteful number, since it uses less digits than its factorization.

87289020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 87289020 is about 9342.8593053733. The cubic root of 87289020 is about 443.5948946777.

The spelling of 87289020 in words is "eighty-seven million, two hundred eighty-nine thousand, twenty".