1625335120 has 80 divisors (see below), whose sum is σ = 3900406608. Its totient is φ = 629473280.

The previous prime is 1625335081. The next prime is 1625335139. The reversal of 1625335120 is 215335261.

It can be written as a sum of positive squares in 8 ways, for example, as 621205776 + 1004129344 = 24924^2 + 31688^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 447552 + ... + 451168.

Almost surely, 2^1625335120 is an apocalyptic number.

1625335120 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 1625335120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950203304).

1625335120 is an abundant number, since it is smaller than the sum of its proper divisors (2275071488).

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

1625335120 is a wasteful number, since it uses less digits than its factorization.

1625335120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 1625335120 is about 40315.4451792362. The cubic root of 1625335120 is about 1175.7481566931.

The spelling of 1625335120 in words is "one billion, six hundred twenty-five million, three hundred thirty-five thousand, one hundred twenty".