1067996160 has 792 divisors, whose sum is σ = 4805307936. Its totient is φ = 216760320.

The previous prime is 1067996101. The next prime is 1067996197. The reversal of 1067996160 is 616997601.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×1067996160² = 2281231595549491200, 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24837099 + ... + 24837141.

It is an arithmetic number, because the mean of its divisors is an integer number (6067308).

Almost surely, 2^1067996160 is an apocalyptic number.

1067996160 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 1067996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402653968).

1067996160 is an abundant number, since it is smaller than the sum of its proper divisors (3737311776).

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

1067996160 is a wasteful number, since it uses less digits than its factorization.

1067996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 1067996160 is about 32680.2105256377. The cubic root of 1067996160 is about 1022.1702349813.

The spelling of 1067996160 in words is "one billion, sixty-seven million, nine hundred ninety-six thousand, one hundred sixty".