201940992 has 224 divisors, whose sum is σ = 660562560. Its totient is φ = 60456960.

The previous prime is 201940967. The next prime is 201941017. The reversal of 201940992 is 299049102.

It is an interprime number because it is at equal distance from previous prime (201940967) and next prime (201941017).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2432983 + ... + 2433065.

It is an arithmetic number, because the mean of its divisors is an integer number (2948940).

Almost surely, 2^201940992 is an apocalyptic number.

201940992 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 201940992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330281280).

201940992 is an abundant number, since it is smaller than the sum of its proper divisors (458621568).

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

201940992 is an equidigital number, since it uses as much as digits as its factorization.

201940992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 201940992 is about 14210.5943577318. The cubic root of 201940992 is about 586.6892920567.

The spelling of 201940992 in words is "two hundred one million, nine hundred forty thousand, nine hundred ninety-two".