42573696 has 64 divisors (see below), whose sum is σ = 123379200. Its totient is φ = 12899840.

The previous prime is 42573691. The next prime is 42573697. The reversal of 42573696 is 69637524.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×42573696² = 3625039182200832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42573691) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 816 + ... + 9263.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 2^42573696 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 42573696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61689600).

42573696 is an abundant number, since it is smaller than the sum of its proper divisors (80805504).

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

42573696 is a wasteful number, since it uses less digits than its factorization.

42573696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10107 (or 10095 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 42573696 is about 6524.8521822337. The cubic root of 42573696 is about 349.1781970802.

The spelling of 42573696 in words is "forty-two million, five hundred seventy-three thousand, six hundred ninety-six".