35802468 has 72 divisors (see below), whose sum is σ = 98470008. Its totient is φ = 10902528.

The previous prime is 35802463. The next prime is 35802469. The reversal of 35802468 is 86420853.

It can be written as a sum of positive squares in 4 ways, for example, as 1790244 + 34012224 = 1338^2 + 5832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (35802463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52546 + ... + 53222.

It is an arithmetic number, because the mean of its divisors is an integer number (1367639).

Almost surely, 2^35802468 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 35802468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49235004).

35802468 is an abundant number, since it is smaller than the sum of its proper divisors (62667540).

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

35802468 is a wasteful number, since it uses less digits than its factorization.

35802468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 35802468 is about 5983.5163574607. The cubic root of 35802468 is about 329.5876944419.

The spelling of 35802468 in words is "thirty-five million, eight hundred two thousand, four hundred sixty-eight".