1061557920 has 192 divisors, whose sum is σ = 3768871680. Its totient is φ = 279014400.

The previous prime is 1061557919. The next prime is 1061557927. The reversal of 1061557920 is 297551601.

1061557920 is a `hidden beast` number, since 1 + 0 + 61 + 5 + 579 + 20 = 666.

It is a super-2 number, since 2×1061557920² = 2253810435029452800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1061557927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304990 + ... + 308450.

It is an arithmetic number, because the mean of its divisors is an integer number (19629540).

Almost surely, 2^1061557920 is an apocalyptic number.

1061557920 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 1061557920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884435840).

1061557920 is an abundant number, since it is smaller than the sum of its proper divisors (2707313760).

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

1061557920 is a wasteful number, since it uses less digits than its factorization.

1061557920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556 (or 3542 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 1061557920 is about 32581.5579737986. The cubic root of 1061557920 is about 1020.1120984065.

The spelling of 1061557920 in words is "one billion, sixty-one million, five hundred fifty-seven thousand, nine hundred twenty".