1067664672 has 96 divisors (see below), whose sum is σ = 3138125760. Its totient is φ = 353134080.

The previous prime is 1067664671. The next prime is 1067664679. The reversal of 1067664672 is 2764667601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1067664672² = 2279815703673735168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1067664671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108468 + ... + 117900.

It is an arithmetic number, because the mean of its divisors is an integer number (32688810).

Almost surely, 2^1067664672 is an apocalyptic number.

1067664672 is a gapful number since it is divisible by the number (12) 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 1067664672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569062880).

1067664672 is an abundant number, since it is smaller than the sum of its proper divisors (2070461088).

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

1067664672 is a wasteful number, since it uses less digits than its factorization.

1067664672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9583 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 1067664672 is about 32675.1384388804. The cubic root of 1067664672 is about 1022.0644692360.

The spelling of 1067664672 in words is "one billion, sixty-seven million, six hundred sixty-four thousand, six hundred seventy-two".