1646346240 has 720 divisors, whose sum is σ = 7360778880. Its totient is φ = 330301440.

The previous prime is 1646346227. The next prime is 1646346241. The reversal of 1646346240 is 426436461.

1646346240 is a `hidden beast` number, since 1 + 646 + 3 + 4 + 6 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 1646346195 and 1646346204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1646346241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56770546 + ... + 56770574.

It is an arithmetic number, because the mean of its divisors is an integer number (10223304).

Almost surely, 2^1646346240 is an apocalyptic number.

1646346240 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 1646346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680389440).

1646346240 is an abundant number, since it is smaller than the sum of its proper divisors (5714432640).

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

1646346240 is a wasteful number, since it uses less digits than its factorization.

1646346240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 1646346240 is about 40575.1924209855. The cubic root of 1646346240 is about 1180.7928789753.

The spelling of 1646346240 in words is "one billion, six hundred forty-six million, three hundred forty-six thousand, two hundred forty".