726861960 has 288 divisors, whose sum is σ = 2676810240. Its totient is φ = 169632000.

The previous prime is 726861937. The next prime is 726861983. The reversal of 726861960 is 69168627.

726861960 is a `hidden beast` number, since 7 + 26 + 8 + 619 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (726861937) and next prime (726861983).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3805465 + ... + 3805655.

It is an arithmetic number, because the mean of its divisors is an integer number (9294480).

Almost surely, 2^726861960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726861960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338405120).

726861960 is an abundant number, since it is smaller than the sum of its proper divisors (1949948280).

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

726861960 is a wasteful number, since it uses less digits than its factorization.

726861960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 726861960 is about 26960.3775937949. The cubic root of 726861960 is about 899.1192865891.

It can be divided in two parts, 726861 and 960, that added together give a triangular number (727821 = T₁₂₀₆).

The spelling of 726861960 in words is "seven hundred twenty-six million, eight hundred sixty-one thousand, nine hundred sixty".