1572056640 has 896 divisors, whose sum is σ = 7373721600. Its totient is φ = 305233920.

The previous prime is 1572056627. The next prime is 1572056669. The reversal of 1572056640 is 466502751.

It is a happy number.

1572056640 is a `hidden beast` number, since 1 + 5 + 7 + 2 + 0 + 5 + 6 + 640 = 666.

1572056640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 1572056595 and 1572056604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11309691 + ... + 11309829.

It is an arithmetic number, because the mean of its divisors is an integer number (8229600).

Almost surely, 2^1572056640 is an apocalyptic number.

1572056640 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 1572056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686860800).

1572056640 is an abundant number, since it is smaller than the sum of its proper divisors (5801664960).

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

1572056640 is a wasteful number, since it uses less digits than its factorization.

1572056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1572056640 is about 39649.1694742778. The cubic root of 1572056640 is about 1162.7581611872.

The spelling of 1572056640 in words is "one billion, five hundred seventy-two million, fifty-six thousand, six hundred forty".