35679520 has 48 divisors (see below), whose sum is σ = 84845880. Its totient is φ = 14178304.

The previous prime is 35679517. The next prime is 35679521. The reversal of 35679520 is 2597653.

It can be written as a sum of positive squares in 4 ways, for example, as 35569296 + 110224 = 5964^2 + 332^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 35679520.

It is not an unprimeable number, because it can be changed into a prime (35679521) 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, 27036 + ... + 28324.

Almost surely, 2^35679520 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 35679520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42422940).

35679520 is an abundant number, since it is smaller than the sum of its proper divisors (49166360).

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

35679520 is a wasteful number, since it uses less digits than its factorization.

35679520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 37.

The square root of 35679520 is about 5973.2336301203. The cubic root of 35679520 is about 329.2099865720.

The spelling of 35679520 in words is "thirty-five million, six hundred seventy-nine thousand, five hundred twenty".