35268896 has 48 divisors (see below), whose sum is σ = 75411000. Its totient is φ = 16140288.

The previous prime is 35268889. The next prime is 35268899. The reversal of 35268896 is 69886253.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10627600 + 24641296 = 3260^2 + 4964^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 35268896.

It is not an unprimeable number, because it can be changed into a prime (35268899) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61700 + ... + 62268.

Almost surely, 2^35268896 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 35268896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37705500).

35268896 is an abundant number, since it is smaller than the sum of its proper divisors (40142104).

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

35268896 is a wasteful number, since it uses less digits than its factorization.

35268896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 733 counting only the distinct ones).

The product of its digits is 622080, while the sum is 47.

The square root of 35268896 is about 5938.7621605853. The cubic root of 35268896 is about 327.9421869154.

The spelling of 35268896 in words is "thirty-five million, two hundred sixty-eight thousand, eight hundred ninety-six".