1025604000 has 288 divisors, whose sum is σ = 3761372160. Its totient is φ = 264384000.

The previous prime is 1025603993. The next prime is 1025604029. The reversal of 1025604000 is 4065201.

It is a happy number.

1025604000 is a `hidden beast` number, since 10 + 256 + 0 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1115541 + ... + 1116459.

It is an arithmetic number, because the mean of its divisors is an integer number (13060320).

Almost surely, 2^1025604000 is an apocalyptic number.

1025604000 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 1025604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880686080).

1025604000 is an abundant number, since it is smaller than the sum of its proper divisors (2735768160).

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

1025604000 is a wasteful number, since it uses less digits than its factorization.

1025604000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1025604000 is about 32025.0526931651. The cubic root of 1025604000 is about 1008.4628448875.

Adding to 1025604000 its reverse (4065201), we get a palindrome (1029669201).

The spelling of 1025604000 in words is "one billion, twenty-five million, six hundred four thousand".