1061077920 has 384 divisors, whose sum is σ = 4031741952. Its totient is φ = 229478400.

The previous prime is 1061077903. The next prime is 1061077921. The reversal of 1061077920 is 297701601.

It is a super-2 number, since 2×1061077920² = 2251772704623052800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1061077921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6353677 + ... + 6353843.

It is an arithmetic number, because the mean of its divisors is an integer number (10499328).

Almost surely, 2^1061077920 is an apocalyptic number.

1061077920 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 1061077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015870976).

1061077920 is an abundant number, since it is smaller than the sum of its proper divisors (2970664032).

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

1061077920 is a wasteful number, since it uses less digits than its factorization.

1061077920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 1061077920 is about 32574.1910106759. The cubic root of 1061077920 is about 1019.9583220187.

The spelling of 1061077920 in words is "one billion, sixty-one million, seventy-seven thousand, nine hundred twenty".