1913629536 has 720 divisors, whose sum is σ = 7543110960. Its totient is φ = 470292480.

The previous prime is 1913629513. The next prime is 1913629537. The reversal of 1913629536 is 6359263191.

1913629536 is a `hidden beast` number, since 1 + 9 + 13 + 629 + 5 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1913629491 and 1913629500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1913629537) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31370946 + ... + 31371006.

It is an arithmetic number, because the mean of its divisors is an integer number (10476543).

Almost surely, 2^1913629536 is an apocalyptic number.

1913629536 is a gapful number since it is divisible by the number (16) 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 1913629536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771555480).

1913629536 is an abundant number, since it is smaller than the sum of its proper divisors (5629481424).

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

1913629536 is a wasteful number, since it uses less digits than its factorization.

1913629536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 105 counting only the distinct ones).

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

The square root of 1913629536 is about 43745.0515601479. The cubic root of 1913629536 is about 1241.5168603215.

The spelling of 1913629536 in words is "one billion, nine hundred thirteen million, six hundred twenty-nine thousand, five hundred thirty-six".