1087862400 has 288 divisors, whose sum is σ = 4028388000. Its totient is φ = 289889280.

The previous prime is 1087862393. The next prime is 1087862407. The reversal of 1087862400 is 42687801.

It is an interprime number because it is at equal distance from previous prime (1087862393) and next prime (1087862407).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (1087862407) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 776901 + ... + 778299.

Almost surely, 2^1087862400 is an apocalyptic number.

1087862400 is a gapful number since it is divisible by the number (10) 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 1087862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014194000).

1087862400 is an abundant number, since it is smaller than the sum of its proper divisors (2940525600).

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

1087862400 is an equidigital number, since it uses as much as digits as its factorization.

1087862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1087862400 is about 32982.7591326135. The cubic root of 1087862400 is about 1028.4692755693.

The spelling of 1087862400 in words is "one billion, eighty-seven million, eight hundred sixty-two thousand, four hundred".