35985642 has 96 divisors (see below), whose sum is σ = 92593536. Its totient is φ = 9123840.

The previous prime is 35985613. The next prime is 35985643. The reversal of 35985642 is 24658953.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 35985594 and 35985603.

It is not an unprimeable number, because it can be changed into a prime (35985643) 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, 370938 + ... + 371034.

It is an arithmetic number, because the mean of its divisors is an integer number (964516).

Almost surely, 2^35985642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35985642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46296768).

35985642 is an abundant number, since it is smaller than the sum of its proper divisors (56607894).

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

35985642 is a wasteful number, since it uses less digits than its factorization.

35985642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 193 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 35985642 is about 5998.8033806752. The cubic root of 35985642 is about 330.1488217639.

The spelling of 35985642 in words is "thirty-five million, nine hundred eighty-five thousand, six hundred forty-two".