1825686720 has 756 divisors, whose sum is σ = 7715268288. Its totient is φ = 395366400.

The previous prime is 1825686713. The next prime is 1825686721. The reversal of 1825686720 is 276865281.

1825686720 is a `hidden beast` number, since 1 + 8 + 2 + 568 + 67 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1825686721) 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 107 ways as a sum of consecutive naturals, for example, 58893105 + ... + 58893135.

Almost surely, 2^1825686720 is an apocalyptic number.

1825686720 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 1825686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3857634144).

1825686720 is an abundant number, since it is smaller than the sum of its proper divisors (5889581568).

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

1825686720 is a wasteful number, since it uses less digits than its factorization.

1825686720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1825686720 is about 42728.0554202973. The cubic root of 1825686720 is about 1222.1994543907.

It can be divided in two parts, 18256 and 86720, that added together give a 4-th power (104976 = 18⁴).

The spelling of 1825686720 in words is "one billion, eight hundred twenty-five million, six hundred eighty-six thousand, seven hundred twenty".