87890616 has 128 divisors (see below), whose sum is σ = 270604800. Its totient is φ = 26208000.

The previous prime is 87890603. The next prime is 87890617. The reversal of 87890616 is 61609878.

It is a happy number.

87890616 is nontrivially palindromic in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87890617) 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, 168436 + ... + 168956.

It is an arithmetic number, because the mean of its divisors is an integer number (2114100).

Almost surely, 2^87890616 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 87890616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135302400).

87890616 is an abundant number, since it is smaller than the sum of its proper divisors (182714184).

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

87890616 is a wasteful number, since it uses less digits than its factorization.

87890616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 87890616 is about 9374.9995200000. Note that the first 3 decimals coincide. The cubic root of 87890616 is about 444.6116478852.

The spelling of 87890616 in words is "eighty-seven million, eight hundred ninety thousand, six hundred sixteen".