35961120 has 288 divisors, whose sum is σ = 141169392. Its totient is φ = 8257536.

The previous prime is 35961071. The next prime is 35961139. The reversal of 35961120 is 2116953.

It can be written as a sum of positive squares in 8 ways, for example, as 4016016 + 31945104 = 2004^2 + 5652^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318184 + ... + 318296.

Almost surely, 2^35961120 is an apocalyptic number.

35961120 is a gapful number since it is divisible by the number (30) 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 35961120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70584696).

35961120 is an abundant number, since it is smaller than the sum of its proper divisors (105208272).

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

35961120 is a wasteful number, since it uses less digits than its factorization.

35961120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 35961120 is about 5996.7591247273. The cubic root of 35961120 is about 330.0738126898.

The spelling of 35961120 in words is "thirty-five million, nine hundred sixty-one thousand, one hundred twenty".