42788640 has 96 divisors (see below), whose sum is σ = 136321920. Its totient is φ = 11280384.

The previous prime is 42788621. The next prime is 42788651. The reversal of 42788640 is 4688724.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46101 + ... + 47019.

It is an arithmetic number, because the mean of its divisors is an integer number (1420020).

Almost surely, 2^42788640 is an apocalyptic number.

42788640 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 42788640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68160960).

42788640 is an abundant number, since it is smaller than the sum of its proper divisors (93533280).

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

42788640 is a wasteful number, since it uses less digits than its factorization.

42788640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 42788640 is about 6541.3026225669. The cubic root of 42788640 is about 349.7648488493.

The spelling of 42788640 in words is "forty-two million, seven hundred eighty-eight thousand, six hundred forty".