610773408 has 288 divisors, whose sum is σ = 2125992960. Its totient is φ = 162570240.

The previous prime is 610773389. The next prime is 610773409. The reversal of 610773408 is 804377016.

610773408 is a `hidden beast` number, since 610 + 7 + 7 + 34 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (610773409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1812216 + ... + 1812552.

It is an arithmetic number, because the mean of its divisors is an integer number (7381920).

Almost surely, 2^610773408 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 610773408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062996480).

610773408 is an abundant number, since it is smaller than the sum of its proper divisors (1515219552).

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

610773408 is a wasteful number, since it uses less digits than its factorization.

610773408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 610773408 is about 24713.8302980335. The cubic root of 610773408 is about 848.4508845828.

The spelling of 610773408 in words is "six hundred ten million, seven hundred seventy-three thousand, four hundred eight".