35696960 has 56 divisors (see below), whose sum is σ = 91552776. Its totient is φ = 13178880.

The previous prime is 35696939. The next prime is 35696977. The reversal of 35696960 is 6969653.

It can be written as a sum of positive squares in 4 ways, for example, as 2334784 + 33362176 = 1528^2 + 5776^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131 + ... + 8450.

It is an arithmetic number, because the mean of its divisors is an integer number (1634871).

Almost surely, 2^35696960 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 35696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45776388).

35696960 is an abundant number, since it is smaller than the sum of its proper divisors (55855816).

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

35696960 is a wasteful number, since it uses less digits than its factorization.

35696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8611 (or 8601 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 44.

The square root of 35696960 is about 5974.6932975677. The cubic root of 35696960 is about 329.2636166559.

The spelling of 35696960 in words is "thirty-five million, six hundred ninety-six thousand, nine hundred sixty".