642088040 has 64 divisors (see below), whose sum is σ = 1612733760. Its totient is φ = 228049920.

The previous prime is 642088039. The next prime is 642088049. The reversal of 642088040 is 40880246.

It is a super-2 number, since 2×642088040² = 824554102222083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 642087988 and 642088006.

It is not an unprimeable number, because it can be changed into a prime (642088049) 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, 1952 + ... + 35888.

It is an arithmetic number, because the mean of its divisors is an integer number (25198965).

Almost surely, 2^642088040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642088040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806366880).

642088040 is an abundant number, since it is smaller than the sum of its proper divisors (970645720).

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

642088040 is a wasteful number, since it uses less digits than its factorization.

642088040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34002 (or 33998 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 642088040 is about 25339.4561899027. The cubic root of 642088040 is about 862.7100556786.

The spelling of 642088040 in words is "six hundred forty-two million, eighty-eight thousand, forty".