35704960 has 64 divisors (see below), whose sum is σ = 87246720. Its totient is φ = 13966336.

The previous prime is 35704939. The next prime is 35704969. The reversal of 35704960 is 6940753.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (35704969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29487 + ... + 30673.

It is an arithmetic number, because the mean of its divisors is an integer number (1363230).

Almost surely, 2^35704960 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 35704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43623360).

35704960 is an abundant number, since it is smaller than the sum of its proper divisors (51541760).

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

35704960 is a wasteful number, since it uses less digits than its factorization.

35704960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 35704960 is about 5975.3627504947. The cubic root of 35704960 is about 329.2882117679.

The spelling of 35704960 in words is "thirty-five million, seven hundred four thousand, nine hundred sixty".