201993792 has 224 divisors, whose sum is σ = 718255104. Its totient is φ = 48384000.

The previous prime is 201993763. The next prime is 201993809. The reversal of 201993792 is 297399102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191667 + ... + 192717.

It is an arithmetic number, because the mean of its divisors is an integer number (3206496).

Almost surely, 2^201993792 is an apocalyptic number.

201993792 is a gapful number since it is divisible by the number (22) 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 201993792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359127552).

201993792 is an abundant number, since it is smaller than the sum of its proper divisors (516261312).

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

201993792 is a wasteful number, since it uses less digits than its factorization.

201993792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 201993792 is about 14212.4520051960. The cubic root of 201993792 is about 586.7404200206.

The spelling of 201993792 in words is "two hundred one million, nine hundred ninety-three thousand, seven hundred ninety-two".