617406240 has 96 divisors (see below), whose sum is σ = 2121650496. Its totient is φ = 149672960.

The previous prime is 617406239. The next prime is 617406247. The reversal of 617406240 is 42604716.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 617406198 and 617406207.

It is not an unprimeable number, because it can be changed into a prime (617406247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53187 + ... + 63746.

It is an arithmetic number, because the mean of its divisors is an integer number (22100526).

Almost surely, 2^617406240 is an apocalyptic number.

617406240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

617406240 is an abundant number, since it is smaller than the sum of its proper divisors (1504244256).

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

617406240 is a wasteful number, since it uses less digits than its factorization.

617406240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116962 (or 116954 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 617406240 is about 24847.6606544761. The cubic root of 617406240 is about 851.5111480736.

The spelling of 617406240 in words is "six hundred seventeen million, four hundred six thousand, two hundred forty".