42570640 has 80 divisors (see below), whose sum is σ = 119099520. Its totient is φ = 13824000.

The previous prime is 42570623. The next prime is 42570643. The reversal of 42570640 is 4607524.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 42570599 and 42570608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42570643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8640 + ... + 12640.

It is an arithmetic number, because the mean of its divisors is an integer number (1488744).

Almost surely, 2^42570640 is an apocalyptic number.

42570640 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 42570640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59549760).

42570640 is an abundant number, since it is smaller than the sum of its proper divisors (76528880).

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

42570640 is a wasteful number, since it uses less digits than its factorization.

42570640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4040 (or 4034 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 42570640 is about 6524.6179964807. The cubic root of 42570640 is about 349.1698420456.

The spelling of 42570640 in words is "forty-two million, five hundred seventy thousand, six hundred forty".