42647040 has 160 divisors (see below), whose sum is σ = 151731360. Its totient is φ = 11354112.

The previous prime is 42647021. The next prime is 42647057. The reversal of 42647040 is 4074624.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42646995 and 42647013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68812 + ... + 69428.

It is an arithmetic number, because the mean of its divisors is an integer number (948321).

Almost surely, 2^42647040 is an apocalyptic number.

42647040 is a gapful number since it is divisible by the number (40) 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 42647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75865680).

42647040 is an abundant number, since it is smaller than the sum of its proper divisors (109084320).

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

42647040 is an equidigital number, since it uses as much as digits as its factorization.

42647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 42647040 is about 6530.4701209025. The cubic root of 42647040 is about 349.3785980750.

The spelling of 42647040 in words is "forty-two million, six hundred forty-seven thousand, forty".