617678340 has 192 divisors, whose sum is σ = 1936037376. Its totient is φ = 146341888.

The previous prime is 617678329. The next prime is 617678387. The reversal of 617678340 is 43876716.

It is a junction number, because it is equal to n+sod(n) for n = 617678292 and 617678301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2650864 + ... + 2651096.

It is an arithmetic number, because the mean of its divisors is an integer number (10083528).

Almost surely, 2^617678340 is an apocalyptic number.

617678340 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 617678340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968018688).

617678340 is an abundant number, since it is smaller than the sum of its proper divisors (1318359036).

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

617678340 is a wasteful number, since it uses less digits than its factorization.

617678340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 617678340 is about 24853.1354158786. The cubic root of 617678340 is about 851.6362208590.

It can be divided in two parts, 61767 and 8340, that added together give a palindrome (70107).

The spelling of 617678340 in words is "six hundred seventeen million, six hundred seventy-eight thousand, three hundred forty".