42619968 has 84 divisors (see below), whose sum is σ = 124267468. Its totient is φ = 13962240.

The previous prime is 42619921. The next prime is 42619987. The reversal of 42619968 is 86991624.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1557504 + 41062464 = 1248^2 + 6408^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34530 + ... + 35742.

Almost surely, 2^42619968 is an apocalyptic number.

42619968 is a gapful number since it is divisible by the number (48) 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 42619968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62133734).

42619968 is an abundant number, since it is smaller than the sum of its proper divisors (81647500).

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

42619968 is a wasteful number, since it uses less digits than its factorization.

42619968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1279 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 42619968 is about 6528.3970467489. The cubic root of 42619968 is about 349.3046548465.

The spelling of 42619968 in words is "forty-two million, six hundred nineteen thousand, nine hundred sixty-eight".