1967072016 has 320 divisors, whose sum is σ = 6577356800. Its totient is φ = 492687360.

The previous prime is 1967071979. The next prime is 1967072069. The reversal of 1967072016 is 6102707691.

It is a super-2 number, since 2×1967072016² = 7738744632260608512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9884685 + ... + 9884883.

It is an arithmetic number, because the mean of its divisors is an integer number (20554240).

Almost surely, 2^1967072016 is an apocalyptic number.

1967072016 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 1967072016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288678400).

1967072016 is an abundant number, since it is smaller than the sum of its proper divisors (4610284784).

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

1967072016 is a wasteful number, since it uses less digits than its factorization.

1967072016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 1967072016 is about 44351.6856049463. The cubic root of 1967072016 is about 1252.9683091466.

The spelling of 1967072016 in words is "one billion, nine hundred sixty-seven million, seventy-two thousand, sixteen".