35682064 has 40 divisors (see below), whose sum is σ = 78030720. Its totient is φ = 15657600.

The previous prime is 35682041. The next prime is 35682067. The reversal of 35682064 is 46028653.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (35682067) 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, 1609 + ... + 8599.

It is an arithmetic number, because the mean of its divisors is an integer number (1950768).

Almost surely, 2^35682064 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 35682064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39015360).

35682064 is an abundant number, since it is smaller than the sum of its proper divisors (42348656).

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

35682064 is a wasteful number, since it uses less digits than its factorization.

35682064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7039 (or 7033 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 35682064 is about 5973.4465763075. The cubic root of 35682064 is about 329.2178107645.

The spelling of 35682064 in words is "thirty-five million, six hundred eighty-two thousand, sixty-four".