1061413920 has 288 divisors, whose sum is σ = 4283435520. Its totient is φ = 234178560.

The previous prime is 1061413909. The next prime is 1061413943. The reversal of 1061413920 is 293141601.

1061413920 is a `hidden beast` number, since 10 + 614 + 1 + 39 + 2 + 0 = 666.

1061413920 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1061413920² = 2253199019139532800, which contains 22 as substring.

It is a congruent number.

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, 290505 + ... + 294135.

It is an arithmetic number, because the mean of its divisors is an integer number (14873040).

Almost surely, 2^1061413920 is an apocalyptic number.

1061413920 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 1061413920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141717760).

1061413920 is an abundant number, since it is smaller than the sum of its proper divisors (3222021600).

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

1061413920 is a wasteful number, since it uses less digits than its factorization.

1061413920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1061413920 is about 32579.3480597755. The cubic root of 1061413920 is about 1020.0659703583.

The spelling of 1061413920 in words is "one billion, sixty-one million, four hundred thirteen thousand, nine hundred twenty".