1087334400 has 144 divisors (see below), whose sum is σ = 3595082400. Its totient is φ = 289914880.

The previous prime is 1087334383. The next prime is 1087334411. The reversal of 1087334400 is 44337801.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150061 + ... + 157139.

It is an arithmetic number, because the mean of its divisors is an integer number (24965850).

Almost surely, 2^1087334400 is an apocalyptic number.

1087334400 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 1087334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797541200).

1087334400 is an abundant number, since it is smaller than the sum of its proper divisors (2507748000).

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

1087334400 is an equidigital number, since it uses as much as digits as its factorization.

1087334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7114 (or 7089 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1087334400 is about 32974.7539793703. The cubic root of 1087334400 is about 1028.3028575689.

The spelling of 1087334400 in words is "one billion, eighty-seven million, three hundred thirty-four thousand, four hundred".