1048608000 has 432 divisors, whose sum is σ = 4128651072. Its totient is φ = 253440000.

The previous prime is 1048607993. The next prime is 1048608007. The reversal of 1048608000 is 8068401.

1048608000 is a `hidden beast` number, since 10 + 48 + 608 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1048607993) and next prime (1048608007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1048608007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3167835 + ... + 3168165.

Almost surely, 2^1048608000 is an apocalyptic number.

1048608000 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 1048608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064325536).

1048608000 is an abundant number, since it is smaller than the sum of its proper divisors (3080043072).

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

1048608000 is a wasteful number, since it uses less digits than its factorization.

1048608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1048608000 is about 32382.2173422389. The cubic root of 1048608000 is about 1015.9470077968.

The spelling of 1048608000 in words is "one billion, forty-eight million, six hundred eight thousand".