87789006 has 48 divisors (see below), whose sum is σ = 202176000. Its totient is φ = 27452304.

The previous prime is 87789001. The next prime is 87789011. The reversal of 87789006 is 60098778.

It is an interprime number because it is at equal distance from previous prime (87789001) and next prime (87789011).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87789001) 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, 35395 + ... + 37793.

It is an arithmetic number, because the mean of its divisors is an integer number (4212000).

Almost surely, 2^87789006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87789006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101088000).

87789006 is an abundant number, since it is smaller than the sum of its proper divisors (114386994).

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

87789006 is a wasteful number, since it uses less digits than its factorization.

87789006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 87789006 is about 9369.5787525374. The cubic root of 87789006 is about 444.4402438816.

The spelling of 87789006 in words is "eighty-seven million, seven hundred eighty-nine thousand, six".