35874960 has 160 divisors (see below), whose sum is σ = 123420672. Its totient is φ = 8547840.

The previous prime is 35874931. The next prime is 35874961. The reversal of 35874960 is 6947853.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (35874961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282417 + ... + 282543.

Almost surely, 2^35874960 is an apocalyptic number.

35874960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35874960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61710336).

35874960 is an abundant number, since it is smaller than the sum of its proper divisors (87545712).

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

35874960 is a wasteful number, since it uses less digits than its factorization.

35874960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 35874960 is about 5989.5709362191. The cubic root of 35874960 is about 329.8099916275.

The spelling of 35874960 in words is "thirty-five million, eight hundred seventy-four thousand, nine hundred sixty".