1061292960 has 648 divisors, whose sum is σ = 4613214060. Its totient is φ = 221405184.

The previous prime is 1061292919. The next prime is 1061292977. The reversal of 1061292960 is 692921601.

1061292960 is a `hidden beast` number, since 10 + 612 + 9 + 29 + 6 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 26255376 + 1035037584 = 5124^2 + 32172^2 .

It is a super-2 number, since 2×1061292960² = 2252685493891123200, which contains 22 as substring.

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

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 107 ways as a sum of consecutive naturals, for example, 11924596 + ... + 11924684.

Almost surely, 2^1061292960 is an apocalyptic number.

1061292960 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 1061292960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306607030).

1061292960 is an abundant number, since it is smaller than the sum of its proper divisors (3551921100).

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

1061292960 is a wasteful number, since it uses less digits than its factorization.

1061292960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1061292960 is about 32577.4916161450. The cubic root of 1061292960 is about 1020.0272195735.

The spelling of 1061292960 in words is "one billion, sixty-one million, two hundred ninety-two thousand, nine hundred sixty".