35248640 has 120 divisors (see below), whose sum is σ = 98662212. Its totient is φ = 12042240.

The previous prime is 35248621. The next prime is 35248649. The reversal of 35248640 is 4684253.

It can be written as a sum of positive squares in 2 ways, for example, as 35236096 + 12544 = 5936^2 + 112^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 35248597 and 35248606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35248649) 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, 125300 + ... + 125580.

Almost surely, 2^35248640 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 35248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49331106).

35248640 is an abundant number, since it is smaller than the sum of its proper divisors (63413572).

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

35248640 is an equidigital number, since it uses as much as digits as its factorization.

35248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 35248640 is about 5937.0565097530. The cubic root of 35248640 is about 327.8793925005.

The spelling of 35248640 in words is "thirty-five million, two hundred forty-eight thousand, six hundred forty".