201790944 has 72 divisors (see below), whose sum is σ = 604061640. Its totient is φ = 63721728.

The previous prime is 201790931. The next prime is 201790951. The reversal of 201790944 is 449097102.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×201790944² = 81439170160822272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 201790899 and 201790908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12967 + ... + 23910.

It is an arithmetic number, because the mean of its divisors is an integer number (8389745).

Almost surely, 2^201790944 is an apocalyptic number.

201790944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201790944 is an abundant number, since it is smaller than the sum of its proper divisors (402270696).

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

201790944 is a wasteful number, since it uses less digits than its factorization.

201790944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36912 (or 36901 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 201790944 is about 14205.3139352849. The cubic root of 201790944 is about 586.5439470125.

The spelling of 201790944 in words is "two hundred one million, seven hundred ninety thousand, nine hundred forty-four".