1087271680 has 288 divisors, whose sum is σ = 3051675648. Its totient is φ = 367411200.

The previous prime is 1087271659. The next prime is 1087271687. The reversal of 1087271680 is 861727801.

It is a super-2 number, since 2×1087271680² = 2364319412260044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1087271687) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20514534 + ... + 20514586.

It is an arithmetic number, because the mean of its divisors is an integer number (10596096).

Almost surely, 2^1087271680 is an apocalyptic number.

1087271680 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 1087271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525837824).

1087271680 is an abundant number, since it is smaller than the sum of its proper divisors (1964403968).

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

1087271680 is a wasteful number, since it uses less digits than its factorization.

1087271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 40.

The square root of 1087271680 is about 32973.8029350574. The cubic root of 1087271680 is about 1028.2830855481.

The spelling of 1087271680 in words is "one billion, eighty-seven million, two hundred seventy-one thousand, six hundred eighty".