1906536960 has 160 divisors (see below), whose sum is σ = 6772423680. Its totient is φ = 508391424.

The previous prime is 1906536911. The next prime is 1906536971. The reversal of 1906536960 is 696356091.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55329 + ... + 82911.

It is an arithmetic number, because the mean of its divisors is an integer number (42327648).

Almost surely, 2^1906536960 is an apocalyptic number.

1906536960 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 1906536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386211840).

1906536960 is an abundant number, since it is smaller than the sum of its proper divisors (4865886720).

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

1906536960 is an equidigital number, since it uses as much as digits as its factorization.

1906536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27615 (or 27593 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 1906536960 is about 43663.9091241268. The cubic root of 1906536960 is about 1239.9811304794.

The spelling of 1906536960 in words is "one billion, nine hundred six million, five hundred thirty-six thousand, nine hundred sixty".