1946321640 has 192 divisors, whose sum is σ = 6630474240. Its totient is φ = 494208000.

The previous prime is 1946321633. The next prime is 1946321647. The reversal of 1946321640 is 461236491.

1946321640 is a `hidden beast` number, since 1 + 9 + 4 + 6 + 3 + 2 + 1 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1946321633) and next prime (1946321647).

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

It is a junction number, because it is equal to n+sod(n) for n = 1946321595 and 1946321604.

It is not an unprimeable number, because it can be changed into a prime (1946321647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2591265 + ... + 2592015.

It is an arithmetic number, because the mean of its divisors is an integer number (34533720).

Almost surely, 2^1946321640 is an apocalyptic number.

1946321640 is a gapful number since it is divisible by the number (10) 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 1946321640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315237120).

1946321640 is an abundant number, since it is smaller than the sum of its proper divisors (4684152600).

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

1946321640 is a wasteful number, since it uses less digits than its factorization.

1946321640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1946321640 is about 44117.1354464453. The cubic root of 1946321640 is about 1248.5469280534.

The spelling of 1946321640 in words is "one billion, nine hundred forty-six million, three hundred twenty-one thousand, six hundred forty".