1085700672 has 168 divisors, whose sum is σ = 3688624576. Its totient is φ = 310169088.

The previous prime is 1085700667. The next prime is 1085700697. The reversal of 1085700672 is 2760075801.

1085700672 is a `hidden beast` number, since 10 + 8 + 570 + 0 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103878 + ... + 113850.

Almost surely, 2^1085700672 is an apocalyptic number.

1085700672 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 1085700672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844312288).

1085700672 is an abundant number, since it is smaller than the sum of its proper divisors (2602923904).

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

1085700672 is an frugal number, since it uses more digits than its factorization.

1085700672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10007 (or 9985 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1085700672 is about 32949.9722609898. The cubic root of 1085700672 is about 1027.7875885276.

The spelling of 1085700672 in words is "one billion, eighty-five million, seven hundred thousand, six hundred seventy-two".