1061162560 has 56 divisors (see below), whose sum is σ = 2551989816. Its totient is φ = 420249600.

The previous prime is 1061162537. The next prime is 1061162561. The reversal of 1061162560 is 652611601.

It can be written as a sum of positive squares in 4 ways, for example, as 427331584 + 633830976 = 20672^2 + 25176^2 .

It is a super-2 number, since 2×1061162560² = 2252131957491507200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1061162561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15904 + ... + 48736.

Almost surely, 2^1061162560 is an apocalyptic number.

1061162560 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 1061162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275994908).

1061162560 is an abundant number, since it is smaller than the sum of its proper divisors (1490827256).

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

1061162560 is a wasteful number, since it uses less digits than its factorization.

1061162560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32951 (or 32941 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 1061162560 is about 32575.4901728278. The cubic root of 1061162560 is about 1019.9854412891.

The spelling of 1061162560 in words is "one billion, sixty-one million, one hundred sixty-two thousand, five hundred sixty".