261214420 has 24 divisors (see below), whose sum is σ = 549410400. Its totient is φ = 104321952.

The previous prime is 261214409. The next prime is 261214423. The reversal of 261214420 is 24412162.

It is a happy number.

261214420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 261214391 and 261214400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261214423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3271 + ... + 23089.

It is an arithmetic number, because the mean of its divisors is an integer number (22892100).

Almost surely, 2^261214420 is an apocalyptic number.

261214420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261214420 is an abundant number, since it is smaller than the sum of its proper divisors (288195980).

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

261214420 is a wasteful number, since it uses less digits than its factorization.

261214420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20487 (or 20485 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 261214420 is about 16162.1291914153. The cubic root of 261214420 is about 639.2426099008.

Adding to 261214420 its reverse (24412162), we get a palindrome (285626582).

The spelling of 261214420 in words is "two hundred sixty-one million, two hundred fourteen thousand, four hundred twenty".