987653400 has 72 divisors (see below), whose sum is σ = 3064113780. Its totient is φ = 263168960.

The previous prime is 987653371. The next prime is 987653411. The reversal of 987653400 is 4356789.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 769159 + ... + 770441.

Almost surely, 2^987653400 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 987653400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532056890).

987653400 is an abundant number, since it is smaller than the sum of its proper divisors (2076460380).

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

987653400 is a wasteful number, since it uses less digits than its factorization.

987653400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 987653400 is about 31426.9533999082. The cubic root of 987653400 is about 995.8674119082.

The spelling of 987653400 in words is "nine hundred eighty-seven million, six hundred fifty-three thousand, four hundred".