35985940 has 48 divisors (see below), whose sum is σ = 81566352. Its totient is φ = 13285376.

The previous prime is 35985931. The next prime is 35985953. The reversal of 35985940 is 4958953.

35985940 = T₃₈₃ + T₃₈₄ + ... + T₆₄₇.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 535824 + 35450116 = 732^2 + 5954^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17022 + ... + 19018.

It is an arithmetic number, because the mean of its divisors is an integer number (1699299).

Almost surely, 2^35985940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35985940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40783176).

35985940 is an abundant number, since it is smaller than the sum of its proper divisors (45580412).

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

35985940 is a wasteful number, since it uses less digits than its factorization.

35985940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The square root of 35985940 is about 5998.8282189108. The cubic root of 35985940 is about 330.1497330910.

The spelling of 35985940 in words is "thirty-five million, nine hundred eighty-five thousand, nine hundred forty".