35690112 has 128 divisors (see below), whose sum is σ = 110160000. Its totient is φ = 11354112.

The previous prime is 35690111. The next prime is 35690141. The reversal of 35690112 is 21109653.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (35690111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79264 + ... + 79712.

It is an arithmetic number, because the mean of its divisors is an integer number (860625).

Almost surely, 2^35690112 is an apocalyptic number.

35690112 is a gapful number since it is divisible by the number (32) 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 35690112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55080000).

35690112 is an abundant number, since it is smaller than the sum of its proper divisors (74469888).

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

35690112 is a wasteful number, since it uses less digits than its factorization.

35690112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 35690112 is about 5974.1201862701. The cubic root of 35690112 is about 329.2425603209.

Adding to 35690112 its reverse (21109653), we get a palindrome (56799765).

The spelling of 35690112 in words is "thirty-five million, six hundred ninety thousand, one hundred twelve".