243961536 has 112 divisors (see below), whose sum is σ = 794495744. Its totient is φ = 64336896.

The previous prime is 243961481. The next prime is 243961567. The reversal of 243961536 is 635169342.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 243961494 and 243961503.

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, 10491 + ... + 24453.

It is an arithmetic number, because the mean of its divisors is an integer number (7093712).

Almost surely, 2^243961536 is an apocalyptic number.

243961536 is a gapful number since it is divisible by the number (26) 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 243961536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397247872).

243961536 is an abundant number, since it is smaller than the sum of its proper divisors (550534208).

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

243961536 is a wasteful number, since it uses less digits than its factorization.

243961536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13998 (or 13988 counting only the distinct ones).

The product of its digits is 116640, while the sum is 39.

The square root of 243961536 is about 15619.2681006506. The cubic root of 243961536 is about 624.8471400038.

The spelling of 243961536 in words is "two hundred forty-three million, nine hundred sixty-one thousand, five hundred thirty-six".