1086381600 has 144 divisors (see below), whose sum is σ = 3744322848. Its totient is φ = 272650240.

The previous prime is 1086381587. The next prime is 1086381607. The reversal of 1086381600 is 61836801.

It is not an unprimeable number, because it can be changed into a prime (1086381607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27487 + ... + 54113.

It is an arithmetic number, because the mean of its divisors is an integer number (26002242).

Almost surely, 2^1086381600 is an apocalyptic number.

1086381600 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 1086381600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872161424).

1086381600 is an abundant number, since it is smaller than the sum of its proper divisors (2657941248).

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

1086381600 is a wasteful number, since it uses less digits than its factorization.

1086381600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26667 (or 26654 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1086381600 is about 32960.3033966619. The cubic root of 1086381600 is about 1028.0024123448.

The spelling of 1086381600 in words is "one billion, eighty-six million, three hundred eighty-one thousand, six hundred".