1010896000 has 256 divisors, whose sum is σ = 2726680320. Its totient is φ = 371712000.

The previous prime is 1010895989. The next prime is 1010896009. The reversal of 1010896000 is 6980101.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010896009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15087967 + ... + 15088033.

It is an arithmetic number, because the mean of its divisors is an integer number (10651095).

Almost surely, 2^1010896000 is an apocalyptic number.

1010896000 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 1010896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363340160).

1010896000 is an abundant number, since it is smaller than the sum of its proper divisors (1715784320).

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

1010896000 is an equidigital number, since it uses as much as digits as its factorization.

1010896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 1010896000 is about 31794.5907349033. The cubic root of 1010896000 is about 1003.6188878526.

The spelling of 1010896000 in words is "one billion, ten million, eight hundred ninety-six thousand".