1925817984 has 128 divisors (see below), whose sum is σ = 5769364800. Its totient is φ = 632282112.

The previous prime is 1925817983. The next prime is 1925818001. The reversal of 1925817984 is 4897185291.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1925817984.

It is not an unprimeable number, because it can be changed into a prime (1925817983) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 227394 + ... + 235710.

Almost surely, 2^1925817984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1925817984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884682400).

1925817984 is an abundant number, since it is smaller than the sum of its proper divisors (3843546816).

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

1925817984 is an equidigital number, since it uses as much as digits as its factorization.

1925817984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8407 (or 8389 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The square root of 1925817984 is about 43884.1427397186. The cubic root of 1925817984 is about 1244.1471412613.

The spelling of 1925817984 in words is "one billion, nine hundred twenty-five million, eight hundred seventeen thousand, nine hundred eighty-four".