35604864 has 96 divisors (see below), whose sum is σ = 105867840. Its totient is φ = 11473920.

The previous prime is 35604859. The next prime is 35604869. The reversal of 35604864 is 46840653.

It is an interprime number because it is at equal distance from previous prime (35604859) and next prime (35604869).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35604869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35214 + ... + 36210.

It is an arithmetic number, because the mean of its divisors is an integer number (1102790).

Almost surely, 2^35604864 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 35604864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52933920).

35604864 is an abundant number, since it is smaller than the sum of its proper divisors (70262976).

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

35604864 is a wasteful number, since it uses less digits than its factorization.

35604864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 35604864 is about 5966.9811462749. The cubic root of 35604864 is about 328.9802127153.

The spelling of 35604864 in words is "thirty-five million, six hundred four thousand, eight hundred sixty-four".