42462640 has 80 divisors (see below), whose sum is σ = 109341216. Its totient is φ = 15206400.

The previous prime is 42462611. The next prime is 42462659. The reversal of 42462640 is 4626424.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 42462599 and 42462608.

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, 63910 + ... + 64570.

Almost surely, 2^42462640 is an apocalyptic number.

42462640 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 42462640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54670608).

42462640 is an abundant number, since it is smaller than the sum of its proper divisors (66878576).

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

42462640 is a wasteful number, since it uses less digits than its factorization.

42462640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 42462640 is about 6516.3363940177. The cubic root of 42462640 is about 348.8743153803.

It can be divided in two parts, 4246 and 2640, that added together give a palindrome (6886).

The spelling of 42462640 in words is "forty-two million, four hundred sixty-two thousand, six hundred forty".