35799960 has 256 divisors, whose sum is σ = 136857600. Its totient is φ = 7299072.

The previous prime is 35799941. The next prime is 35799989. The reversal of 35799960 is 6999753.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 328386 + ... + 328494.

It is an arithmetic number, because the mean of its divisors is an integer number (534600).

Almost surely, 2^35799960 is an apocalyptic number.

35799960 is a gapful number since it is divisible by the number (30) 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 35799960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68428800).

35799960 is an abundant number, since it is smaller than the sum of its proper divisors (101057640).

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

35799960 is a wasteful number, since it uses less digits than its factorization.

35799960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 48.

The square root of 35799960 is about 5983.3067780284. The cubic root of 35799960 is about 329.5799982757.

The spelling of 35799960 in words is "thirty-five million, seven hundred ninety-nine thousand, nine hundred sixty".