1067340672 has 128 divisors (see below), whose sum is σ = 3217651200. Its totient is φ = 348157440.

The previous prime is 1067340649. The next prime is 1067340689. The reversal of 1067340672 is 2760437601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1067340672³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 159147 + ... + 165717.

It is an arithmetic number, because the mean of its divisors is an integer number (25137900).

Almost surely, 2^1067340672 is an apocalyptic number.

1067340672 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 1067340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608825600).

1067340672 is an abundant number, since it is smaller than the sum of its proper divisors (2150310528).

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

1067340672 is an equidigital number, since it uses as much as digits as its factorization.

1067340672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6641 (or 6623 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 1067340672 is about 32670.1801647925. The cubic root of 1067340672 is about 1021.9610714808.

The spelling of 1067340672 in words is "one billion, sixty-seven million, three hundred forty thousand, six hundred seventy-two".