35961696 has 144 divisors (see below), whose sum is σ = 109680480. Its totient is φ = 11151360.

The previous prime is 35961691. The next prime is 35961733. The reversal of 35961696 is 69616953.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35961691) 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 23 ways as a sum of consecutive naturals, for example, 404020 + ... + 404108.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 2^35961696 is an apocalyptic number.

35961696 is a gapful number since it is divisible by the number (36) 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 35961696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54840240).

35961696 is an abundant number, since it is smaller than the sum of its proper divisors (73718784).

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

35961696 is a wasteful number, since it uses less digits than its factorization.

35961696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 35961696 is about 5996.8071504760. The cubic root of 35961696 is about 330.0755749774.

The spelling of 35961696 in words is "thirty-five million, nine hundred sixty-one thousand, six hundred ninety-six".