1025217840 has 160 divisors (see below), whose sum is σ = 3250506240. Its totient is φ = 267245568.

The previous prime is 1025217769. The next prime is 1025217859. The reversal of 1025217840 is 487125201.

1025217840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1025217798 and 1025217807.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2855581 + ... + 2855939.

It is an arithmetic number, because the mean of its divisors is an integer number (20315664).

Almost surely, 2^1025217840 is an apocalyptic number.

1025217840 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 1025217840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625253120).

1025217840 is an abundant number, since it is smaller than the sum of its proper divisors (2225288400).

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

1025217840 is a wasteful number, since it uses less digits than its factorization.

1025217840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 1025217840 is about 32019.0230956536. The cubic root of 1025217840 is about 1008.3362603259.

The spelling of 1025217840 in words is "one billion, twenty-five million, two hundred seventeen thousand, eight hundred forty".