1086068880 has 480 divisors, whose sum is σ = 4289725440. Its totient is φ = 243855360.

The previous prime is 1086068839. The next prime is 1086068891. The reversal of 1086068880 is 888606801.

It is a happy number.

It is a super-2 number, since 2×1086068880² = 2359091224208908800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5512942 + ... + 5513138.

It is an arithmetic number, because the mean of its divisors is an integer number (8936928).

Almost surely, 2^1086068880 is an apocalyptic number.

1086068880 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 1086068880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144862720).

1086068880 is an abundant number, since it is smaller than the sum of its proper divisors (3203656560).

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

1086068880 is a wasteful number, since it uses less digits than its factorization.

1086068880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 1086068880 is about 32955.5591668538. The cubic root of 1086068880 is about 1027.9037644524.

The spelling of 1086068880 in words is "one billion, eighty-six million, sixty-eight thousand, eight hundred eighty".