1617465640 has 64 divisors (see below), whose sum is σ = 4255954560. Its totient is φ = 541658880.

The previous prime is 1617465631. The next prime is 1617465667. The reversal of 1617465640 is 465647161.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1617465593 and 1617465602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55131 + ... + 79210.

It is an arithmetic number, because the mean of its divisors is an integer number (66499290).

Almost surely, 2^1617465640 is an apocalyptic number.

1617465640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1617465640 is an abundant number, since it is smaller than the sum of its proper divisors (2638488920).

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

1617465640 is a wasteful number, since it uses less digits than its factorization.

1617465640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134402 (or 134398 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 1617465640 is about 40217.7279318462. The cubic root of 1617465640 is about 1173.8475230698.

The spelling of 1617465640 in words is "one billion, six hundred seventeen million, four hundred sixty-five thousand, six hundred forty".