1625582880 has 144 divisors (see below), whose sum is σ = 5602726584. Its totient is φ = 429158400.

The previous prime is 1625582873. The next prime is 1625582897. The reversal of 1625582880 is 882855261.

1625582880 is a `hidden beast` number, since 1 + 62 + 5 + 582 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1622800656 + 2782224 = 40284^2 + 1668^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139852 + ... + 151028.

Almost surely, 2^1625582880 is an apocalyptic number.

1625582880 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 1625582880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801363292).

1625582880 is an abundant number, since it is smaller than the sum of its proper divisors (3977143704).

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

1625582880 is a wasteful number, since it uses less digits than its factorization.

1625582880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11299 (or 11288 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 1625582880 is about 40318.5178299004. The cubic root of 1625582880 is about 1175.8078958733.

The spelling of 1625582880 in words is "one billion, six hundred twenty-five million, five hundred eighty-two thousand, eight hundred eighty".