987638400 has 768 divisors, whose sum is σ = 4371148800. Its totient is φ = 212889600.

The previous prime is 987638387. The next prime is 987638441. The reversal of 987638400 is 4836789.

It is a happy number.

987638400 is a `hidden beast` number, since 9 + 8 + 7 + 638 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13910365 + ... + 13910435.

It is an arithmetic number, because the mean of its divisors is an integer number (5691600).

Almost surely, 2^987638400 is an apocalyptic number.

987638400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185574400).

987638400 is an abundant number, since it is smaller than the sum of its proper divisors (3383510400).

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

987638400 is a wasteful number, since it uses less digits than its factorization.

987638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 987638400 is about 31426.7147503521. The cubic root of 987638400 is about 995.8623702992.

The spelling of 987638400 in words is "nine hundred eighty-seven million, six hundred thirty-eight thousand, four hundred".