1933672104 has 384 divisors, whose sum is σ = 6945120000. Its totient is φ = 481614336.

The previous prime is 1933672061. The next prime is 1933672109. The reversal of 1933672104 is 4012763391.

1933672104 is a `hidden beast` number, since 193 + 367 + 2 + 104 = 666.

1933672104 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 not an unprimeable number, because it can be changed into a prime (1933672109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6099754 + ... + 6100070.

It is an arithmetic number, because the mean of its divisors is an integer number (18086250).

Almost surely, 2^1933672104 is an apocalyptic number.

1933672104 is a gapful number since it is divisible by the number (14) 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 1933672104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472560000).

1933672104 is an abundant number, since it is smaller than the sum of its proper divisors (5011447896).

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

1933672104 is a wasteful number, since it uses less digits than its factorization.

1933672104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1933672104 is about 43973.5386795286. The cubic root of 1933672104 is about 1245.8361944322.

The spelling of 1933672104 in words is "one billion, nine hundred thirty-three million, six hundred seventy-two thousand, one hundred four".