617142240 has 672 divisors, whose sum is σ = 2637575136. Its totient is φ = 134369280.

The previous prime is 617142217. The next prime is 617142241. The reversal of 617142240 is 42241716.

617142240 is a `hidden beast` number, since 617 + 1 + 4 + 2 + 2 + 40 = 666.

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 (617142241) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 16679502 + ... + 16679538.

It is an arithmetic number, because the mean of its divisors is an integer number (3924963).

Almost surely, 2^617142240 is an apocalyptic number.

617142240 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 617142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318787568).

617142240 is an abundant number, since it is smaller than the sum of its proper divisors (2020432896).

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

617142240 is a wasteful number, since it uses less digits than its factorization.

617142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 617142240 is about 24842.3477151416. The cubic root of 617142240 is about 851.3897633855.

Adding to 617142240 its reverse (42241716), we get a palindrome (659383956).

The spelling of 617142240 in words is "six hundred seventeen million, one hundred forty-two thousand, two hundred forty".