1067258880 has 528 divisors, whose sum is σ = 4138542720. Its totient is φ = 253034496.

The previous prime is 1067258849. The next prime is 1067258891. The reversal of 1067258880 is 888527601.

1067258880 is a `hidden beast` number, since 1 + 0 + 67 + 2 + 588 + 8 + 0 = 666.

It is a super-2 number, since 2×1067258880² = 2278083033877708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 20136934 + ... + 20136986.

Almost surely, 2^1067258880 is an apocalyptic number.

1067258880 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 1067258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069271360).

1067258880 is an abundant number, since it is smaller than the sum of its proper divisors (3071283840).

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

1067258880 is a wasteful number, since it uses less digits than its factorization.

1067258880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 1067258880 is about 32668.9283570796. The cubic root of 1067258880 is about 1021.9349659841.

The spelling of 1067258880 in words is "one billion, sixty-seven million, two hundred fifty-eight thousand, eight hundred eighty".