97206144 has 192 divisors, whose sum is σ = 312723840. Its totient is φ = 26191872.

The previous prime is 97206139. The next prime is 97206157. The reversal of 97206144 is 44160279.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2260587 + ... + 2260629.

It is an arithmetic number, because the mean of its divisors is an integer number (1628770).

Almost surely, 2^97206144 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 97206144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156361920).

97206144 is an abundant number, since it is smaller than the sum of its proper divisors (215517696).

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

97206144 is a wasteful number, since it uses less digits than its factorization.

97206144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 97206144 is about 9859.3176234464. The cubic root of 97206144 is about 459.7953468969.

The spelling of 97206144 in words is "ninety-seven million, two hundred six thousand, one hundred forty-four".