42822640 has 80 divisors (see below), whose sum is σ = 116278272. Its totient is φ = 14360832.

The previous prime is 42822629. The next prime is 42822667. The reversal of 42822640 is 4622824.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 42822599 and 42822608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25507 + ... + 27133.

Almost surely, 2^42822640 is an apocalyptic number.

42822640 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 42822640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58139136).

42822640 is an abundant number, since it is smaller than the sum of its proper divisors (73455632).

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

42822640 is a wasteful number, since it uses less digits than its factorization.

42822640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 42822640 is about 6543.9009772459. The cubic root of 42822640 is about 349.8574657717.

The spelling of 42822640 in words is "forty-two million, eight hundred twenty-two thousand, six hundred forty".