35068032 has 128 divisors (see below), whose sum is σ = 105672000. Its totient is φ = 11446272.

The previous prime is 35068003. The next prime is 35068051. The reversal of 35068032 is 23086053.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 35067987 and 35068005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252219 + ... + 252357.

Almost surely, 2^35068032 is an apocalyptic number.

35068032 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 35068032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52836000).

35068032 is an abundant number, since it is smaller than the sum of its proper divisors (70603968).

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

35068032 is a wasteful number, since it uses less digits than its factorization.

35068032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 35068032 is about 5921.8267451860. The cubic root of 35068032 is about 327.3184340204.

The spelling of 35068032 in words is "thirty-five million, sixty-eight thousand, thirty-two".