1901990160 has 320 divisors, whose sum is σ = 7584514560. Its totient is φ = 434460672.

The previous prime is 1901990149. The next prime is 1901990161. The reversal of 1901990160 is 610991091.

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 (1901990161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1223944 + ... + 1225496.

It is an arithmetic number, because the mean of its divisors is an integer number (23701608).

Almost surely, 2^1901990160 is an apocalyptic number.

1901990160 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 1901990160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792257280).

1901990160 is an abundant number, since it is smaller than the sum of its proper divisors (5682524400).

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

1901990160 is an equidigital number, since it uses as much as digits as its factorization.

1901990160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 36.

The square root of 1901990160 is about 43611.8121613858. The cubic root of 1901990160 is about 1238.9946238532.

The spelling of 1901990160 in words is "one billion, nine hundred one million, nine hundred ninety thousand, one hundred sixty".