35720960 has 144 divisors (see below), whose sum is σ = 97130880. Its totient is φ = 12472320.

The previous prime is 35720957. The next prime is 35720999. The reversal of 35720960 is 6902753.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605411 + ... + 605469.

It is an arithmetic number, because the mean of its divisors is an integer number (674520).

Almost surely, 2^35720960 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 35720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48565440).

35720960 is an abundant number, since it is smaller than the sum of its proper divisors (61409920).

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

35720960 is a wasteful number, since it uses less digits than its factorization.

35720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 35720960 is about 5976.7014313917. The cubic root of 35720960 is about 329.3373909725.

The spelling of 35720960 in words is "thirty-five million, seven hundred twenty thousand, nine hundred sixty".