201961032 has 256 divisors, whose sum is σ = 679526400. Its totient is φ = 48522240.

The previous prime is 201961009. The next prime is 201961073. The reversal of 201961032 is 230169102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 201960993 and 201961011.

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 63 ways as a sum of consecutive naturals, for example, 1286298 + ... + 1286454.

It is an arithmetic number, because the mean of its divisors is an integer number (2654400).

Almost surely, 2^201961032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201961032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339763200).

201961032 is an abundant number, since it is smaller than the sum of its proper divisors (477565368).

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

201961032 is a wasteful number, since it uses less digits than its factorization.

201961032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 201961032 is about 14211.2994479745. The cubic root of 201961032 is about 586.7086984922.

The spelling of 201961032 in words is "two hundred one million, nine hundred sixty-one thousand, thirty-two".