1061455680 has 336 divisors, whose sum is σ = 3851452800. Its totient is φ = 267939840.

The previous prime is 1061455663. The next prime is 1061455687. The reversal of 1061455680 is 865541601.

1061455680 is a `hidden beast` number, since 10 + 6 + 14 + 556 + 80 = 666.

It is a super-2 number, since 2×1061455680² = 2253376321208524800, 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 not an unprimeable number, because it can be changed into a prime (1061455687) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5929831 + ... + 5930009.

Almost surely, 2^1061455680 is an apocalyptic number.

1061455680 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 1061455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925726400).

1061455680 is an abundant number, since it is smaller than the sum of its proper divisors (2789997120).

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

1061455680 is a wasteful number, since it uses less digits than its factorization.

1061455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1061455680 is about 32579.9889502744. The cubic root of 1061455680 is about 1020.0793479218.

The spelling of 1061455680 in words is "one billion, sixty-one million, four hundred fifty-five thousand, six hundred eighty".