607461120 has 576 divisors, whose sum is σ = 2574458880. Its totient is φ = 134369280.

The previous prime is 607461067. The next prime is 607461121. The reversal of 607461120 is 21164706.

607461120 is a `hidden beast` number, since 607 + 46 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (607461121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 19595505 + ... + 19595535.

Almost surely, 2^607461120 is an apocalyptic number.

607461120 is a gapful number since it is divisible by the number (60) 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 607461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287229440).

607461120 is an abundant number, since it is smaller than the sum of its proper divisors (1966997760).

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

607461120 is an frugal number, since it uses more digits than its factorization.

607461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 607461120 is about 24646.7263546297. The cubic root of 607461120 is about 846.9143577157.

The spelling of 607461120 in words is "six hundred seven million, four hundred sixty-one thousand, one hundred twenty".