1617672840 has 64 divisors (see below), whose sum is σ = 5546309760. Its totient is φ = 369753600.

The previous prime is 1617672817. The next prime is 1617672841. The reversal of 1617672840 is 482767161.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1617672792 and 1617672801.

It is not an unprimeable number, because it can be changed into a prime (1617672841) 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, 962061 + ... + 963740.

It is an arithmetic number, because the mean of its divisors is an integer number (86661090).

Almost surely, 2^1617672840 is an apocalyptic number.

1617672840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1617672840 is an abundant number, since it is smaller than the sum of its proper divisors (3928636920).

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

1617672840 is a wasteful number, since it uses less digits than its factorization.

1617672840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925822 (or 1925818 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 1617672840 is about 40220.3038277932. The cubic root of 1617672840 is about 1173.8976448603.

The spelling of 1617672840 in words is "one billion, six hundred seventeen million, six hundred seventy-two thousand, eight hundred forty".