1006940160 has 260 divisors, whose sum is σ = 3615572928. Its totient is φ = 268075008.

The previous prime is 1006940149. The next prime is 1006940167. The reversal of 1006940160 is 610496001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1006940167) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1658577 + ... + 1659183.

Almost surely, 2^1006940160 is an apocalyptic number.

1006940160 is a gapful number since it is divisible by the number (10) 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 1006940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807786464).

1006940160 is an abundant number, since it is smaller than the sum of its proper divisors (2608632768).

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

1006940160 is an frugal number, since it uses more digits than its factorization.

1006940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1006940160 is about 31732.3204320138. The cubic root of 1006940160 is about 1002.3080554483.

The spelling of 1006940160 in words is "one billion, six million, nine hundred forty thousand, one hundred sixty".