1087319520 has 288 divisors, whose sum is σ = 4266924480. Its totient is φ = 246988800.

The previous prime is 1087319477. The next prime is 1087319551. The reversal of 1087319520 is 259137801.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2711320 + ... + 2711720.

It is an arithmetic number, because the mean of its divisors is an integer number (14815710).

Almost surely, 2^1087319520 is an apocalyptic number.

1087319520 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 1087319520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133462240).

1087319520 is an abundant number, since it is smaller than the sum of its proper divisors (3179604960).

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

1087319520 is a wasteful number, since it uses less digits than its factorization.

1087319520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1087319520 is about 32974.5283514412. The cubic root of 1087319520 is about 1028.2981668267.

The spelling of 1087319520 in words is "one billion, eighty-seven million, three hundred nineteen thousand, five hundred twenty".