613481040 has 200 divisors, whose sum is σ = 2256451560. Its totient is φ = 153944064.

The previous prime is 613481039. The next prime is 613481069. The reversal of 613481040 is 40184316.

613481040 is a `hidden beast` number, since 613 + 4 + 8 + 1 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52359696 + 561121344 = 7236^2 + 23688^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 613480995 and 613481013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 107376 + ... + 112944.

Almost surely, 2^613481040 is an apocalyptic number.

613481040 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 613481040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128225780).

613481040 is an abundant number, since it is smaller than the sum of its proper divisors (1642970520).

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

613481040 is a wasteful number, since it uses less digits than its factorization.

613481040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5611 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 613481040 is about 24768.5494125110. The cubic root of 613481040 is about 849.7027980564.

The spelling of 613481040 in words is "six hundred thirteen million, four hundred eighty-one thousand, forty".