35965480 has 64 divisors (see below), whose sum is σ = 87552000. Its totient is φ = 13250304.

The previous prime is 35965459. The next prime is 35965483. The reversal of 35965480 is 8456953.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35965483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27481 + ... + 28759.

It is an arithmetic number, because the mean of its divisors is an integer number (1368000).

Almost surely, 2^35965480 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 35965480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43776000).

35965480 is an abundant number, since it is smaller than the sum of its proper divisors (51586520).

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

35965480 is a wasteful number, since it uses less digits than its factorization.

35965480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 35965480 is about 5997.1226434016. The cubic root of 35965480 is about 330.0871517596.

The spelling of 35965480 in words is "thirty-five million, nine hundred sixty-five thousand, four hundred eighty".