1993152 has 56 divisors (see below), whose sum is σ = 6030976. Its totient is φ = 569088.

The previous prime is 1993151. The next prime is 1993163. The reversal of 1993152 is 2513991.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 603 + ... + 2085.

It is an arithmetic number, because the mean of its divisors is an integer number (107696).

2^1993152 is an apocalyptic number.

1993152 is a gapful number since it is divisible by the number (12) 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 1993152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015488).

1993152 is an abundant number, since it is smaller than the sum of its proper divisors (4037824).

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

1993152 is a wasteful number, since it uses less digits than its factorization.

1993152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1495 counting only the distinct ones).

The product of its digits is 2430, while the sum is 30.

The square root of 1993152 is about 1411.7903527082. The cubic root of 1993152 is about 125.8481415648.

It can be divided in two parts, 1993 and 152, that added together give a triangular number (2145 = T₆₅).

The spelling of 1993152 in words is "one million, nine hundred ninety-three thousand, one hundred fifty-two".