1072840016 has 60 divisors (see below), whose sum is σ = 2204924724. Its totient is φ = 505612800.

The previous prime is 1072840003. The next prime is 1072840019. The reversal of 1072840016 is 6100482701.

It can be written as a sum of positive squares in 2 ways, for example, as 790734400 + 282105616 = 28120^2 + 16796^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072840019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1622726 + ... + 1623386.

Almost surely, 2^1072840016 is an apocalyptic number.

1072840016 is a gapful number since it is divisible by the number (16) 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 1072840016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102462362).

1072840016 is an abundant number, since it is smaller than the sum of its proper divisors (1132084708).

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

1072840016 is a wasteful number, since it uses less digits than its factorization.

1072840016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 1072840016 is about 32754.2366114675. The cubic root of 1072840016 is about 1023.7132426623.

The spelling of 1072840016 in words is "one billion, seventy-two million, eight hundred forty thousand, sixteen".