617461320 has 64 divisors (see below), whose sum is σ = 2117013120. Its totient is φ = 141133824.

The previous prime is 617461277. The next prime is 617461321. The reversal of 617461320 is 23164716.

It is a super-2 number, since 2×617461320² = 762516963392284800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (617461321) 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, 366697 + ... + 368376.

It is an arithmetic number, because the mean of its divisors is an integer number (33078330).

Almost surely, 2^617461320 is an apocalyptic number.

617461320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

617461320 is an abundant number, since it is smaller than the sum of its proper divisors (1499551800).

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

617461320 is a wasteful number, since it uses less digits than its factorization.

617461320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735094 (or 735090 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 617461320 is about 24848.7689835935. The cubic root of 617461320 is about 851.5364689706.

The spelling of 617461320 in words is "six hundred seventeen million, four hundred sixty-one thousand, three hundred twenty".