1625720960 has 128 divisors (see below), whose sum is σ = 4084732800. Its totient is φ = 617537536.

The previous prime is 1625720953. The next prime is 1625720969. The reversal of 1625720960 is 690275261.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1625720969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2634572 + ... + 2635188.

It is an arithmetic number, because the mean of its divisors is an integer number (31911975).

Almost surely, 2^1625720960 is an apocalyptic number.

1625720960 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 1625720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042366400).

1625720960 is an abundant number, since it is smaller than the sum of its proper divisors (2459011840).

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

1625720960 is a wasteful number, since it uses less digits than its factorization.

1625720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 1625720960 is about 40320.2301580733. The cubic root of 1625720960 is about 1175.8411866926.

The spelling of 1625720960 in words is "one billion, six hundred twenty-five million, seven hundred twenty thousand, nine hundred sixty".