35064224 has 48 divisors (see below), whose sum is σ = 76769280. Its totient is φ = 15655680.

The previous prime is 35064199. The next prime is 35064257. The reversal of 35064224 is 42246053.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 35064193 and 35064202.

It is a congruent number.

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, 11537 + ... + 14255.

It is an arithmetic number, because the mean of its divisors is an integer number (1599360).

Almost surely, 2^35064224 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 35064224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38384640).

35064224 is an abundant number, since it is smaller than the sum of its proper divisors (41705056).

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

35064224 is a wasteful number, since it uses less digits than its factorization.

35064224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 35064224 is about 5921.5052140482. The cubic root of 35064224 is about 327.3065858722.

The spelling of 35064224 in words is "thirty-five million, sixty-four thousand, two hundred twenty-four".