35655642 has 96 divisors (see below), whose sum is σ = 89915904. Its totient is φ = 10108800.

The previous prime is 35655637. The next prime is 35655649. The reversal of 35655642 is 24655653.

It is a happy number.

35655642 is a `hidden beast` number, since 3 + 5 + 6 + 5 + 5 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 35655597 and 35655606.

It is not an unprimeable number, because it can be changed into a prime (35655649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227028 + ... + 227184.

It is an arithmetic number, because the mean of its divisors is an integer number (936624).

Almost surely, 2^35655642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35655642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44957952).

35655642 is an abundant number, since it is smaller than the sum of its proper divisors (54260262).

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

35655642 is a wasteful number, since it uses less digits than its factorization.

35655642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 241 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 35655642 is about 5971.2345457200. The cubic root of 35655642 is about 329.1365305174.

The spelling of 35655642 in words is "thirty-five million, six hundred fifty-five thousand, six hundred forty-two".