261734352 has 160 divisors (see below), whose sum is σ = 771379200. Its totient is φ = 75778560.

The previous prime is 261734351. The next prime is 261734357. The reversal of 261734352 is 253437162.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (30240) is a multiple of the sum of its prime divisors (315).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261734351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1315149 + ... + 1315347.

It is an arithmetic number, because the mean of its divisors is an integer number (4821120).

Almost surely, 2^261734352 is an apocalyptic number.

261734352 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 261734352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385689600).

261734352 is an abundant number, since it is smaller than the sum of its proper divisors (509644848).

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

261734352 is a wasteful number, since it uses less digits than its factorization.

261734352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 261734352 is about 16178.2060810215. The cubic root of 261734352 is about 639.6664538014. Note that the first 3 decimals are identical.

The spelling of 261734352 in words is "two hundred sixty-one million, seven hundred thirty-four thousand, three hundred fifty-two".