1627656672 has 24 divisors (see below), whose sum is σ = 4272599016. Its totient is φ = 542552192.

The previous prime is 1627656637. The next prime is 1627656673. The reversal of 1627656672 is 2766567261.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1627656672² = 5298532483812231168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1627656673) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8477283 + ... + 8477474.

It is an arithmetic number, because the mean of its divisors is an integer number (178024959).

Almost surely, 2^1627656672 is an apocalyptic number.

1627656672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1627656672 is an abundant number, since it is smaller than the sum of its proper divisors (2644942344).

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

1627656672 is a wasteful number, since it uses less digits than its factorization.

1627656672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16954770 (or 16954762 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The square root of 1627656672 is about 40344.2272450471. The cubic root of 1627656672 is about 1176.3076847743.

The spelling of 1627656672 in words is "one billion, six hundred twenty-seven million, six hundred fifty-six thousand, six hundred seventy-two".