180961407 has 24 divisors (see below), whose sum is σ = 286535808. Its totient is φ = 109141200.

The previous prime is 180961399. The next prime is 180961409. The reversal of 180961407 is 704169081.

180961407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 180961407 - 2³ = 180961399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180961409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16558 + ... + 25220.

It is an arithmetic number, because the mean of its divisors is an integer number (11938992).

Almost surely, 2^180961407 is an apocalyptic number.

180961407 is a deficient number, since it is larger than the sum of its proper divisors (105574401).

180961407 is a wasteful number, since it uses less digits than its factorization.

180961407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8891 (or 8888 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 180961407 is about 13452.1896730607. The cubic root of 180961407 is about 565.6250758198.

It can be divided in two parts, 18096 and 1407, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 180961407 in words is "one hundred eighty million, nine hundred sixty-one thousand, four hundred seven".