1008025600 has 180 divisors, whose sum is σ = 2632893984. Its totient is φ = 382074880.

The previous prime is 1008025547. The next prime is 1008025607. The reversal of 1008025600 is 65208001.

It is a happy number.

It is a super-2 number, since 2×1008025600² = 2032231220510720000, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008025607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9420747 + ... + 9420853.

Almost surely, 2^1008025600 is an apocalyptic number.

1008025600 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 1008025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316446992).

1008025600 is an abundant number, since it is smaller than the sum of its proper divisors (1624868384).

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

1008025600 is an equidigital number, since it uses as much as digits as its factorization.

1008025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1008025600 is about 31749.4188923199. The cubic root of 1008025600 is about 1002.6680750445.

The spelling of 1008025600 in words is "one billion, eight million, twenty-five thousand, six hundred".