1906072560 has 840 divisors, whose sum is σ = 8343349920. Its totient is φ = 402361344.

The previous prime is 1906072543. The next prime is 1906072607. The reversal of 1906072560 is 652706091.

1906072560 is a `hidden beast` number, since 1 + 90 + 6 + 0 + 7 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×1906072560² = 7266225207969907200, which contains 22 as substring.

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

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 65726626 + ... + 65726654.

Almost surely, 2^1906072560 is an apocalyptic number.

1906072560 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 1906072560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171674960).

1906072560 is an abundant number, since it is smaller than the sum of its proper divisors (6437277360).

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

1906072560 is a wasteful number, since it uses less digits than its factorization.

1906072560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1906072560 is about 43658.5909071743. The cubic root of 1906072560 is about 1239.8804428608.

The spelling of 1906072560 in words is "one billion, nine hundred six million, seventy-two thousand, five hundred sixty".