42614496 has 72 divisors (see below), whose sum is σ = 122784480. Its totient is φ = 14017536.

The previous prime is 42614489. The next prime is 42614497. The reversal of 42614496 is 69441624.

42614496 is a `hidden beast` number, since 426 + 144 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 self number, because there is not a number n which added to its sum of digits gives 42614496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42614497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21816 + ... + 23688.

It is an arithmetic number, because the mean of its divisors is an integer number (1705340).

Almost surely, 2^42614496 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 42614496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61392240).

42614496 is an abundant number, since it is smaller than the sum of its proper divisors (80169984).

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

42614496 is a wasteful number, since it uses less digits than its factorization.

42614496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1957 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 42614496 is about 6527.9779411392. The cubic root of 42614496 is about 349.2897050708.

The spelling of 42614496 in words is "forty-two million, six hundred fourteen thousand, four hundred ninety-six".