261082464 has 48 divisors (see below), whose sum is σ = 725660208. Its totient is φ = 81907712.

The previous prime is 261082433. The next prime is 261082483. The reversal of 261082464 is 464280162.

261082464 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×261082464² = 136328106016622592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78357 + ... + 81620.

It is an arithmetic number, because the mean of its divisors is an integer number (15117921).

Almost surely, 2^261082464 is an apocalyptic number.

261082464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

261082464 is an abundant number, since it is smaller than the sum of its proper divisors (464577744).

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

261082464 is a wasteful number, since it uses less digits than its factorization.

261082464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160007 (or 159999 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 261082464 is about 16158.0464165691. The cubic root of 261082464 is about 639.1349510847.

The spelling of 261082464 in words is "two hundred sixty-one million, eighty-two thousand, four hundred sixty-four".