1087313472 has 336 divisors, whose sum is σ = 3908511360. Its totient is φ = 281788416.

The previous prime is 1087313417. The next prime is 1087313503. The reversal of 1087313472 is 2743137801.

1087313472 is a `hidden beast` number, since 108 + 73 + 13 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1987503 + ... + 1988049.

Almost surely, 2^1087313472 is an apocalyptic number.

1087313472 is a gapful number since it is divisible by the number (12) 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 1087313472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954255680).

1087313472 is an abundant number, since it is smaller than the sum of its proper divisors (2821197888).

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

1087313472 is a wasteful number, since it uses less digits than its factorization.

1087313472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1087313472 is about 32974.4366441642. The cubic root of 1087313472 is about 1028.2962602547.

The spelling of 1087313472 in words is "one billion, eighty-seven million, three hundred thirteen thousand, four hundred seventy-two".