42822864 has 240 divisors, whose sum is σ = 152272000. Its totient is φ = 11515392.

The previous prime is 42822839. The next prime is 42822877. The reversal of 42822864 is 46822824.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

42822864 is a `hidden beast` number, since 428 + 228 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2518984 + ... + 2519000.

Almost surely, 2^42822864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42822864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76136000).

42822864 is an abundant number, since it is smaller than the sum of its proper divisors (109449136).

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

42822864 is a wasteful number, since it uses less digits than its factorization.

42822864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 29 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 42822864 is about 6543.9180923969. The cubic root of 42822864 is about 349.8580757912.

The spelling of 42822864 in words is "forty-two million, eight hundred twenty-two thousand, eight hundred sixty-four".