261084096 has 336 divisors, whose sum is σ = 978554304. Its totient is φ = 64585728.

The previous prime is 261084067. The next prime is 261084101. The reversal of 261084096 is 690480162.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 261084096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 890926 + ... + 891218.

It is an arithmetic number, because the mean of its divisors is an integer number (2912364).

Almost surely, 2^261084096 is an apocalyptic number.

261084096 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 261084096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489277152).

261084096 is an abundant number, since it is smaller than the sum of its proper divisors (717470208).

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

261084096 is a wasteful number, since it uses less digits than its factorization.

261084096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 261084096 is about 16158.0969176447. The cubic root of 261084096 is about 639.1362828045.

261084096 divided by its sum of digits (36) gives a triangular number (7252336 = T₃₈₀₈).

The spelling of 261084096 in words is "two hundred sixty-one million, eighty-four thousand, ninety-six".