1061786880 has 1080 divisors, whose sum is σ = 5075088480. Its totient is φ = 209018880.

The previous prime is 1061786837. The next prime is 1061786893. The reversal of 1061786880 is 886871601.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×1061786880² = 2254782757080268800, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55883511 + ... + 55883529.

It is an arithmetic number, because the mean of its divisors is an integer number (4699156).

Almost surely, 2^1061786880 is an apocalyptic number.

1061786880 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 1061786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537544240).

1061786880 is an abundant number, since it is smaller than the sum of its proper divisors (4013301600).

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

1061786880 is a wasteful number, since it uses less digits than its factorization.

1061786880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 1061786880 is about 32585.0714284931. The cubic root of 1061786880 is about 1020.1854334147.

The spelling of 1061786880 in words is "one billion, sixty-one million, seven hundred eighty-six thousand, eight hundred eighty".