1025344320 has 672 divisors, whose sum is σ = 4449494784. Its totient is φ = 194641920.

The previous prime is 1025344319. The next prime is 1025344337. The reversal of 1025344320 is 234435201.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10570512 + ... + 10570608.

It is an arithmetic number, because the mean of its divisors is an integer number (6621272).

Almost surely, 2^1025344320 is an apocalyptic number.

1025344320 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 1025344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224747392).

1025344320 is an abundant number, since it is smaller than the sum of its proper divisors (3424150464).

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

1025344320 is a wasteful number, since it uses less digits than its factorization.

1025344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1025344320 is about 32020.9981106149. The cubic root of 1025344320 is about 1008.3777244001.

Adding to 1025344320 its reverse (234435201), we get a palindrome (1259779521).

The spelling of 1025344320 in words is "one billion, twenty-five million, three hundred forty-four thousand, three hundred twenty".