1906789248 has 640 divisors, whose sum is σ = 7298565120. Its totient is φ = 480743424.

The previous prime is 1906789229. The next prime is 1906789249. The reversal of 1906789248 is 8429876091.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1906789194 and 1906789203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1906789249) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40569961 + ... + 40570007.

It is an arithmetic number, because the mean of its divisors is an integer number (11404008).

Almost surely, 2^1906789248 is an apocalyptic number.

1906789248 is a gapful number since it is divisible by the number (18) 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 1906789248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649282560).

1906789248 is an abundant number, since it is smaller than the sum of its proper divisors (5391775872).

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

1906789248 is a wasteful number, since it uses less digits than its factorization.

1906789248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 1906789248 is about 43666.7980048915. The cubic root of 1906789248 is about 1240.0358227598.

The spelling of 1906789248 in words is "one billion, nine hundred six million, seven hundred eighty-nine thousand, two hundred forty-eight".