1042608640 has 80 divisors (see below), whose sum is σ = 2646975672. Its totient is φ = 392495104.

The previous prime is 1042608629. The next prime is 1042608701. The reversal of 1042608640 is 468062401.

It can be written as a sum of positive squares in 4 ways, for example, as 1020930304 + 21678336 = 31952^2 + 4656^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31542 + ... + 55498.

Almost surely, 2^1042608640 is an apocalyptic number.

1042608640 is a gapful number since it is divisible by the number (10) 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 1042608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323487836).

1042608640 is an abundant number, since it is smaller than the sum of its proper divisors (1604367032).

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

1042608640 is an equidigital number, since it uses as much as digits as its factorization.

1042608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23997 (or 23981 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 1042608640 is about 32289.4509089269. The cubic root of 1042608640 is about 1014.0058017141.

The spelling of 1042608640 in words is "one billion, forty-two million, six hundred eight thousand, six hundred forty".