35213640 has 256 divisors, whose sum is σ = 136581120. Its totient is φ = 7050240.

The previous prime is 35213611. The next prime is 35213641. The reversal of 35213640 is 4631253.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 35213640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35213641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 341829 + ... + 341931.

It is an arithmetic number, because the mean of its divisors is an integer number (533520).

Almost surely, 2^35213640 is an apocalyptic number.

35213640 is a gapful number since it is divisible by the number (30) 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 35213640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68290560).

35213640 is an abundant number, since it is smaller than the sum of its proper divisors (101367480).

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

35213640 is a wasteful number, since it uses less digits than its factorization.

35213640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 35213640 is about 5934.1081891047. The cubic root of 35213640 is about 327.7708343726.

Adding to 35213640 its reverse (4631253), we get a palindrome (39844893).

It can be divided in two parts, 35213 and 640, that added together give a palindrome (35853).

The spelling of 35213640 in words is "thirty-five million, two hundred thirteen thousand, six hundred forty".