1993076736 has 416 divisors, whose sum is σ = 6793943040. Its totient is φ = 506462208.

The previous prime is 1993076731. The next prime is 1993076741. The reversal of 1993076736 is 6376703991.

It is an interprime number because it is at equal distance from previous prime (1993076731) and next prime (1993076741).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993076731) 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, 42405865 + ... + 42405911.

Almost surely, 2^1993076736 is an apocalyptic number.

1993076736 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 1993076736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396971520).

1993076736 is an abundant number, since it is smaller than the sum of its proper divisors (4800866304).

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

1993076736 is a wasteful number, since it uses less digits than its factorization.

1993076736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 51.

The square root of 1993076736 is about 44643.8880027266. Note that the first 3 decimals coincide. The cubic root of 1993076736 is about 1258.4655748198.

The spelling of 1993076736 in words is "one billion, nine hundred ninety-three million, seventy-six thousand, seven hundred thirty-six".