1016782560 has 72 divisors (see below), whose sum is σ = 3469775400. Its totient is φ = 271141632.

The previous prime is 1016782531. The next prime is 1016782561. The reversal of 1016782560 is 652876101.

1016782560 is a `hidden beast` number, since 1 + 0 + 16 + 7 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (1016782561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351610 + ... + 354489.

It is an arithmetic number, because the mean of its divisors is an integer number (48191325).

Almost surely, 2^1016782560 is an apocalyptic number.

1016782560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1016782560 is an abundant number, since it is smaller than the sum of its proper divisors (2452992840).

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

1016782560 is a wasteful number, since it uses less digits than its factorization.

1016782560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706120 (or 706109 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1016782560 is about 31887.0280835327. The cubic root of 1016782560 is about 1005.5631803000.

The spelling of 1016782560 in words is "one billion, sixteen million, seven hundred eighty-two thousand, five hundred sixty".