1048959040 has 112 divisors (see below), whose sum is σ = 2570268672. Its totient is φ = 407586816.

The previous prime is 1048959017. The next prime is 1048959061. The reversal of 1048959040 is 409598401.

It is a super-2 number, since 2×1048959040² = 2200630135195443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1048958984 and 1048959002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2153677 + ... + 2154163.

Almost surely, 2^1048959040 is an apocalyptic number.

1048959040 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 1048959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285134336).

1048959040 is an abundant number, since it is smaller than the sum of its proper divisors (1521309632).

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

1048959040 is a wasteful number, since it uses less digits than its factorization.

1048959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 1048959040 is about 32387.6371475290. The cubic root of 1048959040 is about 1016.0603638676.

The spelling of 1048959040 in words is "one billion, forty-eight million, nine hundred fifty-nine thousand, forty".