35604640 has 48 divisors (see below), whose sum is σ = 84625128. Its totient is φ = 14155776.

The previous prime is 35604637. The next prime is 35604649. The reversal of 35604640 is 4640653.

It can be written as a sum of positive squares in 4 ways, for example, as 29030544 + 6574096 = 5388^2 + 2564^2 .

It is a junction number, because it is equal to n+sod(n) for n = 35604599 and 35604608.

It is not an unprimeable number, because it can be changed into a prime (35604649) 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, 30304 + ... + 31456.

Almost surely, 2^35604640 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 35604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42312564).

35604640 is an abundant number, since it is smaller than the sum of its proper divisors (49020488).

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

35604640 is a wasteful number, since it uses less digits than its factorization.

35604640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1353 counting only the distinct ones).

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

The square root of 35604640 is about 5966.9623762849. The cubic root of 35604640 is about 328.9795228122.

The spelling of 35604640 in words is "thirty-five million, six hundred four thousand, six hundred forty".