1906208640 has 768 divisors, whose sum is σ = 8340433920. Its totient is φ = 406093824.

The previous prime is 1906208621. The next prime is 1906208671. The reversal of 1906208640 is 468026091.

1906208640 is a `hidden beast` number, since 1 + 9 + 0 + 6 + 2 + 0 + 8 + 640 = 666.

1906208640 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 = 1906208595 and 1906208604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18506829 + ... + 18506931.

It is an arithmetic number, because the mean of its divisors is an integer number (10859940).

Almost surely, 2^1906208640 is an apocalyptic number.

1906208640 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 1906208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170216960).

1906208640 is an abundant number, since it is smaller than the sum of its proper divisors (6434225280).

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

1906208640 is a wasteful number, since it uses less digits than its factorization.

1906208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1906208640 is about 43660.1493355211. The cubic root of 1906208640 is about 1239.9099483685.

The spelling of 1906208640 in words is "one billion, nine hundred six million, two hundred eight thousand, six hundred forty".