1087680400 has 135 divisors (see below), whose sum is σ = 2804821689. Its totient is φ = 405258240.

The previous prime is 1087680367. The next prime is 1087680427. The reversal of 1087680400 is 40867801.

It is a happy number.

The square root of 1087680400 is 32980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 433139344 + 654541056 = 20812^2 + 25584^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11213152 + ... + 11213248.

Almost surely, 2^1087680400 is an apocalyptic number.

1087680400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1087680400 is the 32980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1087680400

1087680400 is an abundant number, since it is smaller than the sum of its proper divisors (1717141289).

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

1087680400 is an equidigital number, since it uses as much as digits as its factorization.

1087680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The cubic root of 1087680400 is about 1028.4119178717.

The spelling of 1087680400 in words is "one billion, eighty-seven million, six hundred eighty thousand, four hundred".