35663144 has 64 divisors (see below), whose sum is σ = 79833600. Its totient is φ = 14745600.

The previous prime is 35663143. The next prime is 35663149. The reversal of 35663144 is 44136653.

It is a self number, because there is not a number n which added to its sum of digits gives 35663144.

It is not an unprimeable number, because it can be changed into a prime (35663141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45992 + ... + 46760.

It is an arithmetic number, because the mean of its divisors is an integer number (1247400).

Almost surely, 2^35663144 is an apocalyptic number.

35663144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35663144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39916800).

35663144 is an abundant number, since it is smaller than the sum of its proper divisors (44170456).

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

35663144 is a wasteful number, since it uses less digits than its factorization.

35663144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 830 counting only the distinct ones).

The product of its digits is 25920, while the sum is 32.

The square root of 35663144 is about 5971.8626909868. The cubic root of 35663144 is about 329.1596125035.

Adding to 35663144 its reverse (44136653), we get a palindrome (79799797).

The spelling of 35663144 in words is "thirty-five million, six hundred sixty-three thousand, one hundred forty-four".