87838020 has 120 divisors (see below), whose sum is σ = 280526400. Its totient is φ = 23001408.

The previous prime is 87838019. The next prime is 87838021. The reversal of 87838020 is 2083878.

It is an interprime number because it is at equal distance from previous prime (87838019) and next prime (87838021).

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

It is not an unprimeable number, because it can be changed into a prime (87838021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 95121 + ... + 96039.

It is an arithmetic number, because the mean of its divisors is an integer number (2337720).

Almost surely, 2^87838020 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 87838020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140263200).

87838020 is an abundant number, since it is smaller than the sum of its proper divisors (192688380).

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

87838020 is a wasteful number, since it uses less digits than its factorization.

87838020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 87838020 is about 9372.1939800668. The cubic root of 87838020 is about 444.5229411816.

The spelling of 87838020 in words is "eighty-seven million, eight hundred thirty-eight thousand, twenty".