35742560 has 144 divisors (see below), whose sum is σ = 101352384. Its totient is φ = 11870208.

The previous prime is 35742559. The next prime is 35742563. The reversal of 35742560 is 6524753.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35742563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368432 + ... + 368528.

It is an arithmetic number, because the mean of its divisors is an integer number (703836).

Almost surely, 2^35742560 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 35742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50676192).

35742560 is an abundant number, since it is smaller than the sum of its proper divisors (65609824).

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

35742560 is a wasteful number, since it uses less digits than its factorization.

35742560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 35742560 is about 5978.5081751220. The cubic root of 35742560 is about 329.4037596094.

The spelling of 35742560 in words is "thirty-five million, seven hundred forty-two thousand, five hundred sixty".