1073672064 has 256 divisors, whose sum is σ = 3392928000. Its totient is φ = 333268992.

The previous prime is 1073672053. The next prime is 1073672069. The reversal of 1073672064 is 4602763701.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073672069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5450014 + ... + 5450210.

It is an arithmetic number, because the mean of its divisors is an integer number (13253625).

Almost surely, 2^1073672064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1073672064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696464000).

1073672064 is an abundant number, since it is smaller than the sum of its proper divisors (2319255936).

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

1073672064 is a wasteful number, since it uses less digits than its factorization.

1073672064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 304 counting only the distinct ones).

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

The square root of 1073672064 is about 32766.9355295853. The cubic root of 1073672064 is about 1023.9778234130.

The spelling of 1073672064 in words is "one billion, seventy-three million, six hundred seventy-two thousand, sixty-four".