42277664 has 48 divisors (see below), whose sum is σ = 97796160. Its totient is φ = 17736960.

The previous prime is 42277633. The next prime is 42277673. The reversal of 42277664 is 46677224.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44 + ... + 9195.

It is an arithmetic number, because the mean of its divisors is an integer number (2037420).

Almost surely, 2^42277664 is an apocalyptic number.

42277664 is a gapful number since it is divisible by the number (44) 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 42277664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48898080).

42277664 is an abundant number, since it is smaller than the sum of its proper divisors (55518496).

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

42277664 is a wasteful number, since it uses less digits than its factorization.

42277664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9273 (or 9265 counting only the distinct ones).

The product of its digits is 112896, while the sum is 38.

The square root of 42277664 is about 6502.1276517768. The cubic root of 42277664 is about 348.3669885499.

The spelling of 42277664 in words is "forty-two million, two hundred seventy-seven thousand, six hundred sixty-four".