79627548 has 144 divisors (see below), whose sum is σ = 254185344. Its totient is φ = 19071360.

The previous prime is 79627543. The next prime is 79627553. The reversal of 79627548 is 84572697.

It is an interprime number because it is at equal distance from previous prime (79627543) and next prime (79627553).

It is a junction number, because it is equal to n+sod(n) for n = 79627497 and 79627506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79627543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83611 + ... + 84557.

It is an arithmetic number, because the mean of its divisors is an integer number (1765176).

Almost surely, 2^79627548 is an apocalyptic number.

79627548 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79627548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127092672).

79627548 is an abundant number, since it is smaller than the sum of its proper divisors (174557796).

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

79627548 is a wasteful number, since it uses less digits than its factorization.

79627548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 983 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 79627548 is about 8923.4269201916. The cubic root of 79627548 is about 430.2172113333.

The spelling of 79627548 in words is "seventy-nine million, six hundred twenty-seven thousand, five hundred forty-eight".