42301764 has 60 divisors (see below), whose sum is σ = 111509244. Its totient is φ = 13982976.

The previous prime is 42301759. The next prime is 42301769. The reversal of 42301764 is 46710324.

It is an interprime number because it is at equal distance from previous prime (42301759) and next prime (42301769).

It can be written as a sum of positive squares in 2 ways, for example, as 21233664 + 21068100 = 4608^2 + 4590^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42301769) 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 19 ways as a sum of consecutive naturals, for example, 43912 + ... + 44864.

Almost surely, 2^42301764 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 42301764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55754622).

42301764 is an abundant number, since it is smaller than the sum of its proper divisors (69207480).

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

42301764 is a wasteful number, since it uses less digits than its factorization.

42301764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 42301764 is about 6503.9806272774. The cubic root of 42301764 is about 348.4331704597.

The spelling of 42301764 in words is "forty-two million, three hundred one thousand, seven hundred sixty-four".