1010996800 has 336 divisors, whose sum is σ = 2993379840. Its totient is φ = 331776000.

The previous prime is 1010996797. The next prime is 1010996803. The reversal of 1010996800 is 86990101.

It is an interprime number because it is at equal distance from previous prime (1010996797) and next prime (1010996803).

It is a super-2 number, since 2×1010996800² = 2044229059220480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (1010996803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9275146 + ... + 9275254.

Almost surely, 2^1010996800 is an apocalyptic number.

1010996800 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 1010996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496689920).

1010996800 is an abundant number, since it is smaller than the sum of its proper divisors (1982383040).

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

1010996800 is a wasteful number, since it uses less digits than its factorization.

1010996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 34.

The square root of 1010996800 is about 31796.1758706924. The cubic root of 1010996800 is about 1003.6522448685.

The spelling of 1010996800 in words is "one billion, ten million, nine hundred ninety-six thousand, eight hundred".