35668480 has 40 divisors (see below), whose sum is σ = 85526892. Its totient is φ = 14266368.

The previous prime is 35668447. The next prime is 35668487. The reversal of 35668480 is 8486653.

It can be written as a sum of positive squares in 2 ways, for example, as 32626944 + 3041536 = 5712^2 + 1744^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (35668487) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4407 + ... + 9526.

Almost surely, 2^35668480 is an apocalyptic number.

It is an amenable number.

35668480 is an abundant number, since it is smaller than the sum of its proper divisors (49858412).

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

35668480 is an equidigital number, since it uses as much as digits as its factorization.

35668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13956 (or 13940 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 35668480 is about 5972.3094360557. The cubic root of 35668480 is about 329.1760282192.

The spelling of 35668480 in words is "thirty-five million, six hundred sixty-eight thousand, four hundred eighty".