35564000 has 96 divisors (see below), whose sum is σ = 92697696. Its totient is φ = 13363200.

The previous prime is 35563963. The next prime is 35564021. The reversal of 35564000 is 46553.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67739 + ... + 68261.

It is an arithmetic number, because the mean of its divisors is an integer number (965601).

Almost surely, 2^35564000 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 35564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46348848).

35564000 is an abundant number, since it is smaller than the sum of its proper divisors (57133696).

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

35564000 is a wasteful number, since it uses less digits than its factorization.

35564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 35564000 is about 5963.5559861546. Note that the first 3 decimals coincide. The cubic root of 35564000 is about 328.8543067553.

The spelling of 35564000 in words is "thirty-five million, five hundred sixty-four thousand".