1012648000 has 336 divisors, whose sum is σ = 3132514944. Its totient is φ = 317491200.

The previous prime is 1012647973. The next prime is 1012648001. The reversal of 1012648000 is 8462101.

It is not an unprimeable number, because it can be changed into a prime (1012648001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9463947 + ... + 9464053.

Almost surely, 2^1012648000 is an apocalyptic number.

1012648000 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 1012648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566257472).

1012648000 is an abundant number, since it is smaller than the sum of its proper divisors (2119866944).

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

1012648000 is a wasteful number, since it uses less digits than its factorization.

1012648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1012648000 is about 31822.1306640520. The cubic root of 1012648000 is about 1004.1983491971.

The spelling of 1012648000 in words is "one billion, twelve million, six hundred forty-eight thousand".