726621408 has 96 divisors (see below), whose sum is σ = 2230905600. Its totient is φ = 229454208.

The previous prime is 726621373. The next prime is 726621421. The reversal of 726621408 is 804126627.

726621408 is a `hidden beast` number, since 7 + 26 + 621 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5716 + ... + 38547.

It is an arithmetic number, because the mean of its divisors is an integer number (23238600).

Almost surely, 2^726621408 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 726621408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115452800).

726621408 is an abundant number, since it is smaller than the sum of its proper divisors (1504284192).

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

726621408 is a wasteful number, since it uses less digits than its factorization.

726621408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44301 (or 44287 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 726621408 is about 26955.9160111468. The cubic root of 726621408 is about 899.0200890255.

The spelling of 726621408 in words is "seven hundred twenty-six million, six hundred twenty-one thousand, four hundred eight".