35542540 has 72 divisors (see below), whose sum is σ = 86471280. Its totient is φ = 12228480.

The previous prime is 35542537. The next prime is 35542571. The reversal of 35542540 is 4524553.

It is a junction number, because it is equal to n+sod(n) for n = 35542499 and 35542508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45594 + ... + 46366.

It is an arithmetic number, because the mean of its divisors is an integer number (1200990).

Almost surely, 2^35542540 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 35542540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43235640).

35542540 is an abundant number, since it is smaller than the sum of its proper divisors (50928740).

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

35542540 is a wasteful number, since it uses less digits than its factorization.

35542540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 35542540 is about 5961.7564525901. The cubic root of 35542540 is about 328.7881477801.

The spelling of 35542540 in words is "thirty-five million, five hundred forty-two thousand, five hundred forty".