35064064 has 72 divisors (see below), whose sum is σ = 84768768. Its totient is φ = 14131200.

The previous prime is 35064059. The next prime is 35064079. The reversal of 35064064 is 46046053.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 29889 + ... + 31039.

It is an arithmetic number, because the mean of its divisors is an integer number (1177344).

Almost surely, 2^35064064 is an apocalyptic number.

35064064 is a gapful number since it is divisible by the number (34) 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 35064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42384384).

35064064 is an abundant number, since it is smaller than the sum of its proper divisors (49704704).

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

35064064 is a wasteful number, since it uses less digits than its factorization.

35064064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 35064064 is about 5921.4917039543. The cubic root of 35064064 is about 327.3060880321.

The spelling of 35064064 in words is "thirty-five million, sixty-four thousand, sixty-four".