1086861672 has 256 divisors, whose sum is σ = 3392928000. Its totient is φ = 320246784.

The previous prime is 1086861631. The next prime is 1086861673. The reversal of 1086861672 is 2761686801.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1086861673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9971154 + ... + 9971262.

It is an arithmetic number, because the mean of its divisors is an integer number (13253625).

Almost surely, 2^1086861672 is an apocalyptic number.

1086861672 is a gapful number since it is divisible by the number (12) 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 1086861672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696464000).

1086861672 is an abundant number, since it is smaller than the sum of its proper divisors (2306066328).

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

1086861672 is a wasteful number, since it uses less digits than its factorization.

1086861672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1086861672 is about 32967.5851708917. The cubic root of 1086861672 is about 1028.1538147916.

The spelling of 1086861672 in words is "one billion, eighty-six million, eight hundred sixty-one thousand, six hundred seventy-two".