261773424 has 160 divisors (see below), whose sum is σ = 846612480. Its totient is φ = 76723200.

The previous prime is 261773423. The next prime is 261773437. The reversal of 261773424 is 424377162.

261773424 is a `hidden beast` number, since 2 + 617 + 7 + 34 + 2 + 4 = 666.

261773424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261773423) 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, 146424 + ... + 148200.

It is an arithmetic number, because the mean of its divisors is an integer number (5291328).

Almost surely, 2^261773424 is an apocalyptic number.

261773424 is a gapful number since it is divisible by the number (24) 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 261773424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423306240).

261773424 is an abundant number, since it is smaller than the sum of its proper divisors (584839056).

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

261773424 is a wasteful number, since it uses less digits than its factorization.

261773424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1824 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 261773424 is about 16179.4135864066. The cubic root of 261773424 is about 639.6982822615.

The spelling of 261773424 in words is "two hundred sixty-one million, seven hundred seventy-three thousand, four hundred twenty-four".