87889480 has 64 divisors (see below), whose sum is σ = 229236480. Its totient is φ = 29702400.

The previous prime is 87889457. The next prime is 87889481. The reversal of 87889480 is 8498878.

It is not an unprimeable number, because it can be changed into a prime (87889481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17670 + ... + 22090.

It is an arithmetic number, because the mean of its divisors is an integer number (3581820).

Almost surely, 2^87889480 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 87889480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114618240).

87889480 is an abundant number, since it is smaller than the sum of its proper divisors (141347000).

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

87889480 is a wasteful number, since it uses less digits than its factorization.

87889480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4510 (or 4506 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 52.

The square root of 87889480 is about 9374.9389331344. The cubic root of 87889480 is about 444.6097323185.

The spelling of 87889480 in words is "eighty-seven million, eight hundred eighty-nine thousand, four hundred eighty".