35966464 has 40 divisors (see below), whose sum is σ = 72428400. Its totient is φ = 17842176.

The previous prime is 35966461. The next prime is 35966477. The reversal of 35966464 is 46466953.

It is a self number, because there is not a number n which added to its sum of digits gives 35966464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35966461) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101712 + ... + 102064.

It is an arithmetic number, because the mean of its divisors is an integer number (1810710).

Almost surely, 2^35966464 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 35966464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36214200).

35966464 is an abundant number, since it is smaller than the sum of its proper divisors (36461936).

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

35966464 is an equidigital number, since it uses as much as digits as its factorization.

35966464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 554 counting only the distinct ones).

The product of its digits is 466560, while the sum is 43.

The square root of 35966464 is about 5997.2046821832. The cubic root of 35966464 is about 330.0901620795.

The spelling of 35966464 in words is "thirty-five million, nine hundred sixty-six thousand, four hundred sixty-four".