1627968752 has 40 divisors (see below), whose sum is σ = 3180733920. Its totient is φ = 807161600.

The previous prime is 1627968743. The next prime is 1627968757. The reversal of 1627968752 is 2578697261.

It is a junction number, because it is equal to n+sod(n) for n = 1627968694 and 1627968703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1627968757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1939949 + ... + 1940787.

It is an arithmetic number, because the mean of its divisors is an integer number (79518348).

Almost surely, 2^1627968752 is an apocalyptic number.

It is an amenable number.

1627968752 is a deficient number, since it is larger than the sum of its proper divisors (1552765168).

1627968752 is a wasteful number, since it uses less digits than its factorization.

1627968752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1715 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 53.

The square root of 1627968752 is about 40348.0947753422. The cubic root of 1627968752 is about 1176.3828600552.

The spelling of 1627968752 in words is "one billion, six hundred twenty-seven million, nine hundred sixty-eight thousand, seven hundred fifty-two".