35212968 has 120 divisors (see below), whose sum is σ = 114835050. Its totient is φ = 10051776.

The previous prime is 35212963. The next prime is 35212979. The reversal of 35212968 is 86921253.

It can be written as a sum of positive squares in only one way, i.e., 35070084 + 142884 = 5922^2 + 378^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (35212963) 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 29 ways as a sum of consecutive naturals, for example, 31198 + ... + 32306.

Almost surely, 2^35212968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35212968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57417525).

35212968 is an abundant number, since it is smaller than the sum of its proper divisors (79622082).

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

35212968 is a wasteful number, since it uses less digits than its factorization.

35212968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1121 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 35212968 is about 5934.0515670156. The cubic root of 35212968 is about 327.7687493529.

The spelling of 35212968 in words is "thirty-five million, two hundred twelve thousand, nine hundred sixty-eight".