1206930816 has 384 divisors, whose sum is σ = 4433083200. Its totient is φ = 306561024.

The previous prime is 1206930797. The next prime is 1206930833. The reversal of 1206930816 is 6180396021.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1206930816² = 2913363989220851712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3039930 + ... + 3040326.

Almost surely, 2^1206930816 is an apocalyptic number.

1206930816 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 1206930816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216541600).

1206930816 is an abundant number, since it is smaller than the sum of its proper divisors (3226152384).

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

1206930816 is a wasteful number, since it uses less digits than its factorization.

1206930816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1206930816 is about 34740.9098326454. The cubic root of 1206930816 is about 1064.7005016458.

The spelling of 1206930816 in words is "one billion, two hundred six million, nine hundred thirty thousand, eight hundred sixteen".