42267360 has 96 divisors (see below), whose sum is σ = 134174880. Its totient is φ = 11184128.

The previous prime is 42267349. The next prime is 42267361. The reversal of 42267360 is 6376224.

42267360 = 192² + 193² + ... + 511².

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42267361) 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 15 ways as a sum of consecutive naturals, for example, 82786 + ... + 83294.

It is an arithmetic number, because the mean of its divisors is an integer number (1397655).

Almost surely, 2^42267360 is an apocalyptic number.

42267360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42267360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67087440).

42267360 is an abundant number, since it is smaller than the sum of its proper divisors (91907520).

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

42267360 is a wasteful number, since it uses less digits than its factorization.

42267360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 42267360 is about 6501.3352474703. The cubic root of 42267360 is about 348.3386846752.

The spelling of 42267360 in words is "forty-two million, two hundred sixty-seven thousand, three hundred sixty".