561838950 has 96 divisors (see below), whose sum is σ = 1639314720. Its totient is φ = 141004800.

The previous prime is 561838939. The next prime is 561838951. The reversal of 561838950 is 59838165.

561838950 is a `hidden beast` number, since 561 + 8 + 3 + 89 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 561838896 and 561838905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561838951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10710 + ... + 35190.

It is an arithmetic number, because the mean of its divisors is an integer number (17076195).

Almost surely, 2^561838950 is an apocalyptic number.

561838950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 561838950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819657360).

561838950 is an abundant number, since it is smaller than the sum of its proper divisors (1077475770).

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

561838950 is a wasteful number, since it uses less digits than its factorization.

561838950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24519 (or 24508 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 561838950 is about 23703.1421967637. The cubic root of 561838950 is about 825.1583167247.

The spelling of 561838950 in words is "five hundred sixty-one million, eight hundred thirty-eight thousand, nine hundred fifty".