97768944 has 200 divisors, whose sum is σ = 348692960. Its totient is φ = 25754112.

The previous prime is 97768943. The next prime is 97768949. The reversal of 97768944 is 44986779.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97768943) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117522 + ... + 118350.

Almost surely, 2^97768944 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 97768944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174346480).

97768944 is an abundant number, since it is smaller than the sum of its proper divisors (250924016).

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

97768944 is a wasteful number, since it uses less digits than its factorization.

97768944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 854 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 97768944 is about 9887.8179594893. The cubic root of 97768944 is about 460.6810076867.

The spelling of 97768944 in words is "ninety-seven million, seven hundred sixty-eight thousand, nine hundred forty-four".