1993400136 has 192 divisors, whose sum is σ = 6670809600. Its totient is φ = 523666944.

The previous prime is 1993400131. The next prime is 1993400141. The reversal of 1993400136 is 6310043991.

It is an interprime number because it is at equal distance from previous prime (1993400131) and next prime (1993400141).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1993400136.

It is not an unprimeable number, because it can be changed into a prime (1993400131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2404170 + ... + 2404998.

It is an arithmetic number, because the mean of its divisors is an integer number (34743800).

Almost surely, 2^1993400136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1993400136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335404800).

1993400136 is an abundant number, since it is smaller than the sum of its proper divisors (4677409464).

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

1993400136 is a wasteful number, since it uses less digits than its factorization.

1993400136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 1993400136 is about 44647.5098521743. The cubic root of 1993400136 is about 1258.5336380556.

The spelling of 1993400136 in words is "one billion, nine hundred ninety-three million, four hundred thousand, one hundred thirty-six".