1625006880 has 768 divisors, whose sum is σ = 7185024000. Its totient is φ = 334430208.

The previous prime is 1625006869. The next prime is 1625006917. The reversal of 1625006880 is 886005261.

It is a happy number.

1625006880 is a `hidden beast` number, since 16 + 2 + 500 + 68 + 80 = 666.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 14908266 + ... + 14908374.

It is an arithmetic number, because the mean of its divisors is an integer number (9355500).

Almost surely, 2^1625006880 is an apocalyptic number.

1625006880 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 1625006880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592512000).

1625006880 is an abundant number, since it is smaller than the sum of its proper divisors (5560017120).

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

1625006880 is a wasteful number, since it uses less digits than its factorization.

1625006880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1625006880 is about 40311.3740772998. The cubic root of 1625006880 is about 1175.6690030563.

The spelling of 1625006880 in words is "one billion, six hundred twenty-five million, six thousand, eight hundred eighty".