1074782016 has 252 divisors, whose sum is σ = 3871687456. Its totient is φ = 279037440.

The previous prime is 1074782011. The next prime is 1074782017. The reversal of 1074782016 is 6102874701.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (1074782011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 486771 + ... + 488973.

Almost surely, 2^1074782016 is an apocalyptic number.

1074782016 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 1074782016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935843728).

1074782016 is an abundant number, since it is smaller than the sum of its proper divisors (2796905440).

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

1074782016 is a wasteful number, since it uses less digits than its factorization.

1074782016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1074782016 is about 32783.8682281393. The cubic root of 1074782016 is about 1024.3305614102.

The spelling of 1074782016 in words is "one billion, seventy-four million, seven hundred eighty-two thousand, sixteen".