1625927040 has 256 divisors, whose sum is σ = 6010329600. Its totient is φ = 414627840.

The previous prime is 1625926999. The next prime is 1625927053. The reversal of 1625927040 is 407295261.

1625927040 is a `hidden beast` number, since 1 + 62 + 592 + 7 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1625926986 and 1625927004.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 395395 + ... + 399485.

It is an arithmetic number, because the mean of its divisors is an integer number (23477850).

Almost surely, 2^1625927040 is an apocalyptic number.

1625927040 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 1625927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005164800).

1625927040 is an abundant number, since it is smaller than the sum of its proper divisors (4384402560).

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

1625927040 is a wasteful number, since it uses less digits than its factorization.

1625927040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4142 (or 4124 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1625927040 is about 40322.7856180597. The cubic root of 1625927040 is about 1175.8908686736.

The spelling of 1625927040 in words is "one billion, six hundred twenty-five million, nine hundred twenty-seven thousand, forty".