1025669120 has 192 divisors, whose sum is σ = 2889432000. Its totient is φ = 342097920.

The previous prime is 1025669111. The next prime is 1025669123. The reversal of 1025669120 is 219665201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025669123) 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 15 ways as a sum of consecutive naturals, for example, 2938706 + ... + 2939054.

It is an arithmetic number, because the mean of its divisors is an integer number (15049125).

Almost surely, 2^1025669120 is an apocalyptic number.

1025669120 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 1025669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444716000).

1025669120 is an abundant number, since it is smaller than the sum of its proper divisors (1863762880).

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

1025669120 is an equidigital number, since it uses as much as digits as its factorization.

1025669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 1025669120 is about 32026.0693810527. The cubic root of 1025669120 is about 1008.4841883139.

The spelling of 1025669120 in words is "one billion, twenty-five million, six hundred sixty-nine thousand, one hundred twenty".