1087675680 has 384 divisors, whose sum is σ = 4337238528. Its totient is φ = 222953472.

The previous prime is 1087675627. The next prime is 1087675697. The reversal of 1087675680 is 865767801.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 1615824 + ... + 1616496.

It is an arithmetic number, because the mean of its divisors is an integer number (11294892).

Almost surely, 2^1087675680 is an apocalyptic number.

1087675680 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 1087675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168619264).

1087675680 is an abundant number, since it is smaller than the sum of its proper divisors (3249562848).

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

1087675680 is a wasteful number, since it uses less digits than its factorization.

1087675680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 1087675680 is about 32979.9284414021. The cubic root of 1087675680 is about 1028.4104302682.

The spelling of 1087675680 in words is "one billion, eighty-seven million, six hundred seventy-five thousand, six hundred eighty".