1048826880 has 308 divisors, whose sum is σ = 3785631732. Its totient is φ = 278691840.

The previous prime is 1048826879. The next prime is 1048826897. The reversal of 1048826880 is 886288401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 544195584 + 504631296 = 23328^2 + 22464^2 .

It is a super-2 number, since 2×1048826880² = 2200075648421068800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3732340 + ... + 3732620.

Almost surely, 2^1048826880 is an apocalyptic number.

1048826880 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 1048826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892815866).

1048826880 is an abundant number, since it is smaller than the sum of its proper divisors (2736804852).

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

1048826880 is an frugal number, since it uses more digits than its factorization.

1048826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 1048826880 is about 32385.5967985770. The cubic root of 1048826880 is about 1016.0176903940.

The spelling of 1048826880 in words is "one billion, forty-eight million, eight hundred twenty-six thousand, eight hundred eighty".