1572680340 has 384 divisors, whose sum is σ = 6173798400. Its totient is φ = 322859520.

The previous prime is 1572680339. The next prime is 1572680363. The reversal of 1572680340 is 430862751.

1572680340 is a `hidden beast` number, since 1 + 57 + 268 + 0 + 340 = 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 = 1572680295 and 1572680304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4532047 + ... + 4532393.

It is an arithmetic number, because the mean of its divisors is an integer number (16077600).

Almost surely, 2^1572680340 is an apocalyptic number.

1572680340 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 1572680340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086899200).

1572680340 is an abundant number, since it is smaller than the sum of its proper divisors (4601118060).

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

1572680340 is a wasteful number, since it uses less digits than its factorization.

1572680340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1572680340 is about 39657.0339284218. The cubic root of 1572680340 is about 1162.9119123012.

The spelling of 1572680340 in words is "one billion, five hundred seventy-two million, six hundred eighty thousand, three hundred forty".