41619096 has 96 divisors (see below), whose sum is σ = 118809600. Its totient is φ = 13646880.

The previous prime is 41619079. The next prime is 41619133. The reversal of 41619096 is 69091614.

41619096 = 249² + 250² + ... + 519².

41619096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 41619096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153441 + ... + 153711.

It is an arithmetic number, because the mean of its divisors is an integer number (1237600).

Almost surely, 2^41619096 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 41619096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59404800).

41619096 is an abundant number, since it is smaller than the sum of its proper divisors (77190504).

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

41619096 is a wasteful number, since it uses less digits than its factorization.

41619096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 41619096 is about 6451.2863833502. The cubic root of 41619096 is about 346.5486523015.

It can be divided in two parts, 4 and 1619096, that added together give a triangular number (1619100 = T₁₇₉₉).

The spelling of 41619096 in words is "forty-one million, six hundred nineteen thousand, ninety-six".