1067139680 has 96 divisors (see below), whose sum is σ = 2636051040. Its totient is φ = 407715840.

The previous prime is 1067139649. The next prime is 1067139713. The reversal of 1067139680 is 869317601.

1067139680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1067139680² = 2277574193261004800, 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 15 ways as a sum of consecutive naturals, for example, 448895 + ... + 451265.

It is an arithmetic number, because the mean of its divisors is an integer number (27458865).

Almost surely, 2^1067139680 is an apocalyptic number.

1067139680 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 1067139680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318025520).

1067139680 is an abundant number, since it is smaller than the sum of its proper divisors (1568911360).

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

1067139680 is a wasteful number, since it uses less digits than its factorization.

1067139680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 1067139680 is about 32667.1039426515. The cubic root of 1067139680 is about 1021.8969186132.

The spelling of 1067139680 in words is "one billion, sixty-seven million, one hundred thirty-nine thousand, six hundred eighty".