35535040 has 56 divisors (see below), whose sum is σ = 85130640. Its totient is φ = 14128128.

The previous prime is 35535037. The next prime is 35535041. The reversal of 35535040 is 4053553.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 35534996 and 35535014.

It is not an unprimeable number, because it can be changed into a prime (35535041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93571 + ... + 93949.

It is an arithmetic number, because the mean of its divisors is an integer number (1520190).

Almost surely, 2^35535040 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 35535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42565320).

35535040 is an abundant number, since it is smaller than the sum of its proper divisors (49595600).

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

35535040 is a wasteful number, since it uses less digits than its factorization.

35535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 25.

The square root of 35535040 is about 5961.1274101465. The cubic root of 35535040 is about 328.7650197709.

Adding to 35535040 its reverse (4053553), we get a palindrome (39588593).

It can be divided in two parts, 3553 and 5040, that multiplied together give a triangular number (17907120 = T₅₉₈₄).

The spelling of 35535040 in words is "thirty-five million, five hundred thirty-five thousand, forty".