42632648 has 16 divisors (see below), whose sum is σ = 80046960. Its totient is φ = 21286800.

The previous prime is 42632647. The next prime is 42632663. The reversal of 42632648 is 84623624.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42632641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3203 + ... + 9773.

It is an arithmetic number, because the mean of its divisors is an integer number (5002935).

Almost surely, 2^42632648 is an apocalyptic number.

It is an amenable number.

42632648 is a deficient number, since it is larger than the sum of its proper divisors (37414312).

42632648 is a wasteful number, since it uses less digits than its factorization.

42632648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7388 (or 7384 counting only the distinct ones).

The product of its digits is 55296, while the sum is 35.

The square root of 42632648 is about 6529.3681164413. The cubic root of 42632648 is about 349.3392923185.

It can be divided in two parts, 42632 and 648, that multiplied together give a square (27625536 = 5256²).

The spelling of 42632648 in words is "forty-two million, six hundred thirty-two thousand, six hundred forty-eight".