1087188480 has 600 divisors, whose sum is σ = 4572048888. Its totient is φ = 246177792.

The previous prime is 1087188467. The next prime is 1087188499. The reversal of 1087188480 is 848817801.

1087188480 is a `hidden beast` number, since 10 + 87 + 1 + 88 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10160587 + ... + 10160693.

Almost surely, 2^1087188480 is an apocalyptic number.

1087188480 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 1087188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286024444).

1087188480 is an abundant number, since it is smaller than the sum of its proper divisors (3484860408).

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

1087188480 is an equidigital number, since it uses as much as digits as its factorization.

1087188480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The square root of 1087188480 is about 32972.5413033330. The cubic root of 1087188480 is about 1028.2568561837.

The spelling of 1087188480 in words is "one billion, eighty-seven million, one hundred eighty-eight thousand, four hundred eighty".