1607626272 has 96 divisors (see below), whose sum is σ = 4978520064. Its totient is φ = 444499200.

The previous prime is 1607626217. The next prime is 1607626343. The reversal of 1607626272 is 2726267061.

It is a happy number.

1607626272 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1607626272.

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, 17754 + ... + 59417.

It is an arithmetic number, because the mean of its divisors is an integer number (51859584).

Almost surely, 2^1607626272 is an apocalyptic number.

1607626272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1607626272 is an abundant number, since it is smaller than the sum of its proper divisors (3370893792).

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

1607626272 is a wasteful number, since it uses less digits than its factorization.

1607626272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77222 (or 77214 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 1607626272 is about 40095.2150761160. The cubic root of 1607626272 is about 1171.4624301819.

The spelling of 1607626272 in words is "one billion, six hundred seven million, six hundred twenty-six thousand, two hundred seventy-two".