8987400 has 72 divisors (see below), whose sum is σ = 30188730. Its totient is φ = 2396160.

The previous prime is 8987389. The next prime is 8987401. The reversal of 8987400 is 47898.

It can be written as a sum of positive squares in 3 ways, for example, as 6022116 + 2965284 = 2454^2 + 1722^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8987401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 697 + ... + 4296.

Almost surely, 2^8987400 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 8987400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15094365).

8987400 is an abundant number, since it is smaller than the sum of its proper divisors (21201330).

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

8987400 is a wasteful number, since it uses less digits than its factorization.

8987400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5015 (or 5003 counting only the distinct ones).

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

The square root of 8987400 is about 2997.8992644850. The cubic root of 8987400 is about 207.9112663919.

The spelling of 8987400 in words is "eight million, nine hundred eighty-seven thousand, four hundred".