35668890 has 128 divisors (see below), whose sum is σ = 106272000. Its totient is φ = 8460288.

The previous prime is 35668889. The next prime is 35668921. The reversal of 35668890 is 9886653.

35668890 is a `hidden beast` number, since 3 + 566 + 8 + 89 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87006 + ... + 87414.

It is an arithmetic number, because the mean of its divisors is an integer number (830250).

Almost surely, 2^35668890 is an apocalyptic number.

35668890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35668890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53136000).

35668890 is an abundant number, since it is smaller than the sum of its proper divisors (70603110).

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

35668890 is a wasteful number, since it uses less digits than its factorization.

35668890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 35668890 is about 5972.3437610372. The cubic root of 35668890 is about 329.1772894790.

The spelling of 35668890 in words is "thirty-five million, six hundred sixty-eight thousand, eight hundred ninety".