1625832432 has 160 divisors (see below), whose sum is σ = 5614323200. Its totient is φ = 440059392.

The previous prime is 1625832407. The next prime is 1625832449. The reversal of 1625832432 is 2342385261.

1625832432 is a `hidden beast` number, since 1 + 625 + 8 + 3 + 24 + 3 + 2 = 666.

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

It is a congruent number.

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, 43308 + ... + 71604.

It is an arithmetic number, because the mean of its divisors is an integer number (35089520).

Almost surely, 2^1625832432 is an apocalyptic number.

1625832432 is a gapful number since it is divisible by the number (12) 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 1625832432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807161600).

1625832432 is an abundant number, since it is smaller than the sum of its proper divisors (3988490768).

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

1625832432 is a wasteful number, since it uses less digits than its factorization.

1625832432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28340 (or 28328 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 1625832432 is about 40321.6124677573. The cubic root of 1625832432 is about 1175.8680609997.

The spelling of 1625832432 in words is "one billion, six hundred twenty-five million, eight hundred thirty-two thousand, four hundred thirty-two".