97726944 has 96 divisors (see below), whose sum is σ = 300416256. Its totient is φ = 27233280.

The previous prime is 97726943. The next prime is 97726949. The reversal of 97726944 is 44962779.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 97726893 and 97726902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97726943) 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 15 ways as a sum of consecutive naturals, for example, 25779 + ... + 29325.

It is an arithmetic number, because the mean of its divisors is an integer number (3129336).

Almost surely, 2^97726944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97726944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150208128).

97726944 is an abundant number, since it is smaller than the sum of its proper divisors (202689312).

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

97726944 is a wasteful number, since it uses less digits than its factorization.

97726944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3600 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 97726944 is about 9885.6939058419. The cubic root of 97726944 is about 460.6150311342.

The spelling of 97726944 in words is "ninety-seven million, seven hundred twenty-six thousand, nine hundred forty-four".