35220416 has 84 divisors (see below), whose sum is σ = 88779096. Its totient is φ = 13708800.

The previous prime is 35220373. The next prime is 35220421. The reversal of 35220416 is 61402253.

It is a junction number, because it is equal to n+sod(n) for n = 35220391 and 35220400.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 33986 + ... + 35006.

It is an arithmetic number, because the mean of its divisors is an integer number (1056894).

Almost surely, 2^35220416 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 35220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44389548).

35220416 is an abundant number, since it is smaller than the sum of its proper divisors (53558680).

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

35220416 is a wasteful number, since it uses less digits than its factorization.

35220416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 35220416 is about 5934.6790983169. The cubic root of 35220416 is about 327.7918568394.

Adding to 35220416 its reverse (61402253), we get a palindrome (96622669).

The spelling of 35220416 in words is "thirty-five million, two hundred twenty thousand, four hundred sixteen".