1087512480 has 288 divisors, whose sum is σ = 3906512064. Its totient is φ = 285659136.

The previous prime is 1087512421. The next prime is 1087512497. The reversal of 1087512480 is 842157801.

1087512480 is a `hidden beast` number, since 108 + 75 + 1 + 2 + 480 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3226872 + ... + 3227208.

It is an arithmetic number, because the mean of its divisors is an integer number (13564278).

Almost surely, 2^1087512480 is an apocalyptic number.

1087512480 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 1087512480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953256032).

1087512480 is an abundant number, since it is smaller than the sum of its proper divisors (2818999584).

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

1087512480 is an equidigital number, since it uses as much as digits as its factorization.

1087512480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1087512480 is about 32977.4541164111. The cubic root of 1087512480 is about 1028.3589918415.

The spelling of 1087512480 in words is "one billion, eighty-seven million, five hundred twelve thousand, four hundred eighty".