1061985780 has 72 divisors (see below), whose sum is σ = 3234855624. Its totient is φ = 282009600.

The previous prime is 1061985761. The next prime is 1061985787. The reversal of 1061985780 is 875891601.

1061985780 is a `hidden beast` number, since 10 + 61 + 9 + 8 + 578 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13003236 + 1048982544 = 3606^2 + 32388^2 .

It is a super-2 number, since 2×1061985780² = 2255627593844416800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061985787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31140 + ... + 55620.

Almost surely, 2^1061985780 is an apocalyptic number.

1061985780 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 1061985780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617427812).

1061985780 is an abundant number, since it is smaller than the sum of its proper divisors (2172869844).

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

1061985780 is a wasteful number, since it uses less digits than its factorization.

1061985780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24737 (or 24732 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 1061985780 is about 32588.1232966859. The cubic root of 1061985780 is about 1020.2491317636.

The spelling of 1061985780 in words is "one billion, sixty-one million, nine hundred eighty-five thousand, seven hundred eighty".