1641199560 has 384 divisors, whose sum is σ = 6653352960. Its totient is φ = 314496000.

The previous prime is 1641199541. The next prime is 1641199591. The reversal of 1641199560 is 659911461.

1641199560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1561035 + ... + 1562085.

It is an arithmetic number, because the mean of its divisors is an integer number (17326440).

Almost surely, 2^1641199560 is an apocalyptic number.

1641199560 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 1641199560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326676480).

1641199560 is an abundant number, since it is smaller than the sum of its proper divisors (5012153400).

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

1641199560 is a wasteful number, since it uses less digits than its factorization.

1641199560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 1641199560 is about 40511.7212668136. The cubic root of 1641199560 is about 1179.5611601910.

The spelling of 1641199560 in words is "one billion, six hundred forty-one million, one hundred ninety-nine thousand, five hundred sixty".