42363648 has 126 divisors (see below), whose sum is σ = 127343244. Its totient is φ = 14059008.

The previous prime is 42363637. The next prime is 42363649. The reversal of 42363648 is 84636324.

It is a happy number.

42363648 is a `hidden beast` number, since 4 + 2 + 3 + 6 + 3 + 648 = 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 not an unprimeable number, because it can be changed into a prime (42363649) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186511 + ... + 186737.

Almost surely, 2^42363648 is an apocalyptic number.

42363648 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 42363648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63671622).

42363648 is an abundant number, since it is smaller than the sum of its proper divisors (84979596).

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

42363648 is an frugal number, since it uses more digits than its factorization.

42363648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 232 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 42363648 is about 6508.7362828740. The cubic root of 42363648 is about 348.6029973584.

The spelling of 42363648 in words is "forty-two million, three hundred sixty-three thousand, six hundred forty-eight".