1993591264 has 144 divisors (see below), whose sum is σ = 4889218320. Its totient is φ = 795432960.

The previous prime is 1993591219. The next prime is 1993591267. The reversal of 1993591264 is 4621953991.

It is a super-2 number, since 2×1993591264² = 7948812255794235392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993591267) 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 23 ways as a sum of consecutive naturals, for example, 1816764 + ... + 1817860.

It is an arithmetic number, because the mean of its divisors is an integer number (33952905).

Almost surely, 2^1993591264 is an apocalyptic number.

1993591264 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 1993591264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444609160).

1993591264 is an abundant number, since it is smaller than the sum of its proper divisors (2895627056).

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

1993591264 is a wasteful number, since it uses less digits than its factorization.

1993591264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1186 counting only the distinct ones).

The product of its digits is 524880, while the sum is 49.

The square root of 1993591264 is about 44649.6502113958. The cubic root of 1993591264 is about 1258.5738596726.

The spelling of 1993591264 in words is "one billion, nine hundred ninety-three million, five hundred ninety-one thousand, two hundred sixty-four".