613625040 has 180 divisors, whose sum is σ = 2397345444. Its totient is φ = 140249088.

The previous prime is 613625021. The next prime is 613625041. The reversal of 613625040 is 40526316.

613625040 is a `hidden beast` number, since 613 + 6 + 2 + 5 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 176145984 + 437479056 = 13272^2 + 20916^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 613624995 and 613625013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613625041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26584 + ... + 43976.

Almost surely, 2^613625040 is an apocalyptic number.

613625040 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 613625040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198672722).

613625040 is an abundant number, since it is smaller than the sum of its proper divisors (1783720404).

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

613625040 is a wasteful number, since it uses less digits than its factorization.

613625040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17426 (or 17410 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 613625040 is about 24771.4561542110. The cubic root of 613625040 is about 849.7692753245.

The spelling of 613625040 in words is "six hundred thirteen million, six hundred twenty-five thousand, forty".