42667695 has 64 divisors (see below), whose sum is σ = 87536640. Its totient is φ = 19315584.

The previous prime is 42667661. The next prime is 42667699. The reversal of 42667695 is 59676624.

It is not a de Polignac number, because 42667695 - 2¹⁰ = 42666671 is a prime.

It is a super-2 number, since 2×42667695² = 3641064393226050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 42667695.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42667699) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153897 + ... + 154173.

It is an arithmetic number, because the mean of its divisors is an integer number (1367760).

Almost surely, 2^42667695 is an apocalyptic number.

42667695 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42667695 is an abundant number, since it is smaller than the sum of its proper divisors (44868945).

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

42667695 is a wasteful number, since it uses less digits than its factorization.

42667695 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 455 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 42667695 is about 6532.0513623210. The cubic root of 42667695 is about 349.4349931592.

It can be divided in two parts, 426 and 67695, that added together give a square (68121 = 261²).

The spelling of 42667695 in words is "forty-two million, six hundred sixty-seven thousand, six hundred ninety-five".