35242560 has 112 divisors (see below), whose sum is σ = 124358400. Its totient is φ = 9395712.

The previous prime is 35242541. The next prime is 35242561. The reversal of 35242560 is 6524253.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (35242561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6601 + ... + 10679.

Almost surely, 2^35242560 is an apocalyptic number.

35242560 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 35242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62179200).

35242560 is an abundant number, since it is smaller than the sum of its proper divisors (89115840).

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

35242560 is a wasteful number, since it uses less digits than its factorization.

35242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 35242560 is about 5936.5444494251. The cubic root of 35242560 is about 327.8605395619.

It can be divided in two parts, 3524 and 2560, that added together give a square (6084 = 78²).

The spelling of 35242560 in words is "thirty-five million, two hundred forty-two thousand, five hundred sixty".