1201901064 has 256 divisors, whose sum is σ = 3924910080. Its totient is φ = 298045440.

The previous prime is 1201901059. The next prime is 1201901089. The reversal of 1201901064 is 4601091021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3566304 + ... + 3566640.

It is an arithmetic number, because the mean of its divisors is an integer number (15331680).

Almost surely, 2^1201901064 is an apocalyptic number.

1201901064 is a gapful number since it is divisible by the number (14) 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 1201901064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962455040).

1201901064 is an abundant number, since it is smaller than the sum of its proper divisors (2723009016).

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

1201901064 is a wasteful number, since it uses less digits than its factorization.

1201901064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1201901064 is about 34668.4447877317. Note that the first 3 decimals coincide. The cubic root of 1201901064 is about 1063.2194347615.

Adding to 1201901064 its reverse (4601091021), we get a palindrome (5802992085).

The spelling of 1201901064 in words is "one billion, two hundred one million, nine hundred one thousand, sixty-four".