35968240 has 80 divisors (see below), whose sum is σ = 104279040. Its totient is φ = 11208960.

The previous prime is 35968211. The next prime is 35968241. The reversal of 35968240 is 4286953.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 35968240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35968241) 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 15 ways as a sum of consecutive naturals, for example, 3241 + ... + 9079.

It is an arithmetic number, because the mean of its divisors is an integer number (1303488).

Almost surely, 2^35968240 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 35968240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52139520).

35968240 is an abundant number, since it is smaller than the sum of its proper divisors (68310800).

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

35968240 is a wasteful number, since it uses less digits than its factorization.

35968240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5870 (or 5864 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 35968240 is about 5997.3527493387. The cubic root of 35968240 is about 330.0955952007.

The spelling of 35968240 in words is "thirty-five million, nine hundred sixty-eight thousand, two hundred forty".