1086688890 has 96 divisors (see below), whose sum is σ = 3316360320. Its totient is φ = 241667712.

The previous prime is 1086688861. The next prime is 1086688891. The reversal of 1086688890 is 988866801.

1086688890 is a nontrivial binomial coefficient, being equal to C(46620, 2).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1086688891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1 + ... + 46619.

It is an arithmetic number, because the mean of its divisors is an integer number (34545420).

Almost surely, 2^1086688890 is an apocalyptic number.

1086688890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1086688890 is the 46619-th triangular number and also the 23310-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1086688890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658180160).

1086688890 is an abundant number, since it is smaller than the sum of its proper divisors (2229671430).

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

1086688890 is a wasteful number, since it uses less digits than its factorization.

1086688890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46676 (or 46673 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 1086688890 is about 32964.9645836303. The cubic root of 1086688890 is about 1028.0993288984.

The spelling of 1086688890 in words is "one billion, eighty-six million, six hundred eighty-eight thousand, eight hundred ninety".