1950801600 has 168 divisors, whose sum is σ = 6982285248. Its totient is φ = 472908800.

The previous prime is 1950801571. The next prime is 1950801613. The reversal of 1950801600 is 61080591.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34327 + ... + 71273.

Almost surely, 2^1950801600 is an apocalyptic number.

1950801600 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 1950801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491142624).

1950801600 is an abundant number, since it is smaller than the sum of its proper divisors (5031483648).

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

1950801600 is a wasteful number, since it uses less digits than its factorization.

1950801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36983 (or 36968 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 1950801600 is about 44167.8797317689. The cubic root of 1950801600 is about 1249.5041446613.

The spelling of 1950801600 in words is "one billion, nine hundred fifty million, eight hundred one thousand, six hundred".