1946016072 has 576 divisors, whose sum is σ = 7454453760. Its totient is φ = 444787200.

The previous prime is 1946016031. The next prime is 1946016077. The reversal of 1946016072 is 2706106491.

1946016072 is a `hidden beast` number, since 1 + 9 + 46 + 0 + 1 + 607 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1946016077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29044983 + ... + 29045049.

It is an arithmetic number, because the mean of its divisors is an integer number (12941760).

Almost surely, 2^1946016072 is an apocalyptic number.

1946016072 is a gapful number since it is divisible by the number (12) 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 1946016072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727226880).

1946016072 is an abundant number, since it is smaller than the sum of its proper divisors (5508437688).

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

1946016072 is a wasteful number, since it uses less digits than its factorization.

1946016072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1946016072 is about 44113.6721663477. The cubic root of 1946016072 is about 1248.4815849728.

The spelling of 1946016072 in words is "one billion, nine hundred forty-six million, sixteen thousand, seventy-two".