1067123904 has 448 divisors, whose sum is σ = 3862425600. Its totient is φ = 251596800.

The previous prime is 1067123903. The next prime is 1067123909. The reversal of 1067123904 is 4093217601.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1067123904² = 2277506852976402432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1067123903) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8145919 + ... + 8146049.

Almost surely, 2^1067123904 is an apocalyptic number.

1067123904 is a gapful number since it is divisible by the number (14) 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 1067123904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931212800).

1067123904 is an abundant number, since it is smaller than the sum of its proper divisors (2795301696).

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

1067123904 is a wasteful number, since it uses less digits than its factorization.

1067123904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1067123904 is about 32666.8624756036. The cubic root of 1067123904 is about 1021.8918828697.

The spelling of 1067123904 in words is "one billion, sixty-seven million, one hundred twenty-three thousand, nine hundred four".