1061162880 has 128 divisors (see below), whose sum is σ = 3409084800. Its totient is φ = 280750080.

The previous prime is 1061162827. The next prime is 1061162881. The reversal of 1061162880 is 882611601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1061162880² = 2252133315779788800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061162881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249411 + ... + 253629.

It is an arithmetic number, because the mean of its divisors is an integer number (26633475).

Almost surely, 2^1061162880 is an apocalyptic number.

1061162880 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 1061162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704542400).

1061162880 is an abundant number, since it is smaller than the sum of its proper divisors (2347921920).

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

1061162880 is a wasteful number, since it uses less digits than its factorization.

1061162880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 1061162880 is about 32575.4950844956. The cubic root of 1061162880 is about 1019.9855438166.

The spelling of 1061162880 in words is "one billion, sixty-one million, one hundred sixty-two thousand, eight hundred eighty".