1067120640 has 144 divisors (see below), whose sum is σ = 3698767800. Its totient is φ = 284540928.

The previous prime is 1067120633. The next prime is 1067120689. The reversal of 1067120640 is 460217601.

1067120640 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 12 + 0 + 640 = 666.

1067120640 is digitally balanced in base 2, 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 (144).

It is a super-2 number, since 2×1067120640² = 2277492920628019200, 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 11 ways as a sum of consecutive naturals, for example, 86371 + ... + 97949.

Almost surely, 2^1067120640 is an apocalyptic number.

1067120640 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 1067120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849383900).

1067120640 is an abundant number, since it is smaller than the sum of its proper divisors (2631647160).

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

1067120640 is a wasteful number, since it uses less digits than its factorization.

1067120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11612 (or 11589 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1067120640 is about 32666.8125166812. The cubic root of 1067120640 is about 1021.8908409855.

The spelling of 1067120640 in words is "one billion, sixty-seven million, one hundred twenty thousand, six hundred forty".