1072643824 has 40 divisors (see below), whose sum is σ = 2478412800. Its totient is φ = 439716288.

The previous prime is 1072643813. The next prime is 1072643827. The reversal of 1072643824 is 4283462701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072643827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205624 + ... + 210775.

It is an arithmetic number, because the mean of its divisors is an integer number (61960320).

Almost surely, 2^1072643824 is an apocalyptic number.

1072643824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1072643824 is an abundant number, since it is smaller than the sum of its proper divisors (1405768976).

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

1072643824 is a wasteful number, since it uses less digits than its factorization.

1072643824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416437 (or 416431 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 1072643824 is about 32751.2415642522. The cubic root of 1072643824 is about 1023.6508361557.

The spelling of 1072643824 in words is "one billion, seventy-two million, six hundred forty-three thousand, eight hundred twenty-four".