1025673984 has 108 divisors (see below), whose sum is σ = 2967773536. Its totient is φ = 340678656.

The previous prime is 1025673949. The next prime is 1025674019. The reversal of 1025673984 is 4893765201.

1025673984 is a `hidden beast` number, since 1 + 0 + 2 + 567 + 3 + 9 + 84 = 666.

1025673984 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1025673949) and next prime (1025674019).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

1025673984 is strictly pandigital in base 10.

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 11 ways as a sum of consecutive naturals, for example, 844962 + ... + 846174.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1025673984 = 2051347968, but 3⋅1025673984 = 3077021952 is not.

Almost surely, 2^1025673984 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 1025673984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483886768).

1025673984 is an abundant number, since it is smaller than the sum of its proper divisors (1942099552).

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

1025673984 is a wasteful number, since it uses less digits than its factorization.

1025673984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1025673984 is about 32026.1453190983. The cubic root of 1025673984 is about 1008.4857824795.

The spelling of 1025673984 in words is "one billion, twenty-five million, six hundred seventy-three thousand, nine hundred eighty-four".