1061964288 has 480 divisors, whose sum is σ = 3967996032. Its totient is φ = 265420800.

The previous prime is 1061964229. The next prime is 1061964301. The reversal of 1061964288 is 8824691601.

1061964288 is a `hidden beast` number, since 1 + 0 + 619 + 6 + 4 + 28 + 8 = 666.

It is a super-2 number, since 2×1061964288² = 2255536297974693888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14547420 + ... + 14547492.

Almost surely, 2^1061964288 is an apocalyptic number.

1061964288 is a gapful number since it is divisible by the number (18) 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 1061964288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983998016).

1061964288 is an abundant number, since it is smaller than the sum of its proper divisors (2906031744).

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

1061964288 is a wasteful number, since it uses less digits than its factorization.

1061964288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1061964288 is about 32587.7935429817. The cubic root of 1061964288 is about 1020.2422492665.

The spelling of 1061964288 in words is "one billion, sixty-one million, nine hundred sixty-four thousand, two hundred eighty-eight".