1016262720 has 672 divisors, whose sum is σ = 4266956160. Its totient is φ = 225607680.

The previous prime is 1016262713. The next prime is 1016262749. The reversal of 1016262720 is 272626101.

1016262720 is a `hidden beast` number, since 1 + 0 + 16 + 2 + 627 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27466542 + ... + 27466578.

Almost surely, 2^1016262720 is an apocalyptic number.

1016262720 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 1016262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133478080).

1016262720 is an abundant number, since it is smaller than the sum of its proper divisors (3250693440).

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

1016262720 is a wasteful number, since it uses less digits than its factorization.

1016262720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1016262720 is about 31878.8757643679. The cubic root of 1016262720 is about 1005.3917830930.

Adding to 1016262720 its reverse (272626101), we get a palindrome (1288888821).

The spelling of 1016262720 in words is "one billion, sixteen million, two hundred sixty-two thousand, seven hundred twenty".