1020096000 has 960 divisors, whose sum is σ = 4779979776. Its totient is φ = 202752000.

The previous prime is 1020095983. The next prime is 1020096029. The reversal of 1020096000 is 6900201.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44351989 + ... + 44352011.

Almost surely, 2^1020096000 is an apocalyptic number.

1020096000 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 1020096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389989888).

1020096000 is an abundant number, since it is smaller than the sum of its proper divisors (3759883776).

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

1020096000 is a wasteful number, since it uses less digits than its factorization.

1020096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1020096000 is about 31938.9417482796. The cubic root of 1020096000 is about 1006.6542888897.

Adding to 1020096000 its reverse (6900201), we get a palindrome (1026996201).

The spelling of 1020096000 in words is "one billion, twenty million, ninety-six thousand".