42903648 has 192 divisors, whose sum is σ = 139345920. Its totient is φ = 12773376.

The previous prime is 42903647. The next prime is 42903661. The reversal of 42903648 is 84630924.

It is a happy number.

42903648 is a `hidden beast` number, since 4 + 2 + 9 + 0 + 3 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42903647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337761 + ... + 337887.

It is an arithmetic number, because the mean of its divisors is an integer number (725760).

Almost surely, 2^42903648 is an apocalyptic number.

42903648 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 42903648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960).

42903648 is an abundant number, since it is smaller than the sum of its proper divisors (96442272).

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

42903648 is a wasteful number, since it uses less digits than its factorization.

42903648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

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

The square root of 42903648 is about 6550.0876330016. The cubic root of 42903648 is about 350.0779363857.

The spelling of 42903648 in words is "forty-two million, nine hundred three thousand, six hundred forty-eight".