35564064 has 48 divisors (see below), whose sum is σ = 94123008. Its totient is φ = 11757312.

The previous prime is 35564059. The next prime is 35564071. The reversal of 35564064 is 46046553.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10734 + ... + 13650.

It is an arithmetic number, because the mean of its divisors is an integer number (1960896).

Almost surely, 2^35564064 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 35564064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47061504).

35564064 is an abundant number, since it is smaller than the sum of its proper divisors (58558944).

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

35564064 is a wasteful number, since it uses less digits than its factorization.

35564064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3057 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 35564064 is about 5963.5613520781. The cubic root of 35564064 is about 328.8545040210.

The spelling of 35564064 in words is "thirty-five million, five hundred sixty-four thousand, sixty-four".