42007320 has 48 divisors (see below), whose sum is σ = 136524960. Its totient is φ = 11201856.

The previous prime is 42007319. The next prime is 42007333. The reversal of 42007320 is 2370024.

It is a happy number.

It is a super-2 number, since 2×42007320² = 3529229867164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42007293 and 42007302.

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, 57984 + ... + 58703.

It is an arithmetic number, because the mean of its divisors is an integer number (2844270).

Almost surely, 2^42007320 is an apocalyptic number.

42007320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42007320 is an abundant number, since it is smaller than the sum of its proper divisors (94517640).

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

42007320 is a wasteful number, since it uses less digits than its factorization.

42007320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116704 (or 116697 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 42007320 is about 6481.3054240639. The cubic root of 42007320 is about 347.6228573751.

Adding to 42007320 its reverse (2370024), we get a palindrome (44377344).

The spelling of 42007320 in words is "forty-two million, seven thousand, three hundred twenty".