1601923680 has 432 divisors, whose sum is σ = 6466902624. Its totient is φ = 359976960.

The previous prime is 1601923657. The next prime is 1601923681. The reversal of 1601923680 is 863291061.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601923681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5150725 + ... + 5151035.

It is an arithmetic number, because the mean of its divisors is an integer number (14969682).

Almost surely, 2^1601923680 is an apocalyptic number.

1601923680 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 1601923680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233451312).

1601923680 is an abundant number, since it is smaller than the sum of its proper divisors (4864978944).

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

1601923680 is a wasteful number, since it uses less digits than its factorization.

1601923680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 401 counting only the distinct ones).

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

The square root of 1601923680 is about 40024.0387767152. The cubic root of 1601923680 is about 1170.0756470922.

The spelling of 1601923680 in words is "one billion, six hundred one million, nine hundred twenty-three thousand, six hundred eighty".