1933536960 has 224 divisors, whose sum is σ = 7042099200. Its totient is φ = 498908160.

The previous prime is 1933536949. The next prime is 1933536961. The reversal of 1933536960 is 696353391.

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

It is not an unprimeable number, because it can be changed into a prime (1933536961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264231 + ... + 271449.

Almost surely, 2^1933536960 is an apocalyptic number.

1933536960 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 1933536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521049600).

1933536960 is an abundant number, since it is smaller than the sum of its proper divisors (5108562240).

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

1933536960 is a wasteful number, since it uses less digits than its factorization.

1933536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7276 (or 7260 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 45.

The square root of 1933536960 is about 43972.0020012735. The cubic root of 1933536960 is about 1245.8071699992.

The spelling of 1933536960 in words is "one billion, nine hundred thirty-three million, five hundred thirty-six thousand, nine hundred sixty".