1925220960 has 432 divisors, whose sum is σ = 7402724784. Its totient is φ = 472283136.

The previous prime is 1925220959. The next prime is 1925220967. The reversal of 1925220960 is 690225291.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1925220967) 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 71 ways as a sum of consecutive naturals, for example, 6570574 + ... + 6570866.

It is an arithmetic number, because the mean of its divisors is an integer number (17135937).

Almost surely, 2^1925220960 is an apocalyptic number.

1925220960 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 1925220960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701362392).

1925220960 is an abundant number, since it is smaller than the sum of its proper divisors (5477503824).

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

1925220960 is a wasteful number, since it uses less digits than its factorization.

1925220960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1925220960 is about 43877.3399376033. The cubic root of 1925220960 is about 1244.0185617037.

The spelling of 1925220960 in words is "one billion, nine hundred twenty-five million, two hundred twenty thousand, nine hundred sixty".