35640640 has 84 divisors (see below), whose sum is σ = 98768916. Its totient is φ = 12214272.

The previous prime is 35640601. The next prime is 35640641. The reversal of 35640640 is 4604653.

It can be written as a sum of positive squares in 2 ways, for example, as 23193856 + 12446784 = 4816^2 + 3528^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 35640599 and 35640608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35640641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14544 + ... + 16816.

Almost surely, 2^35640640 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 35640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49384458).

35640640 is an abundant number, since it is smaller than the sum of its proper divisors (63128276).

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

35640640 is a wasteful number, since it uses less digits than its factorization.

35640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 35640640 is about 5969.9782244159. The cubic root of 35640640 is about 329.0903629861.

The spelling of 35640640 in words is "thirty-five million, six hundred forty thousand, six hundred forty".