97761680 has 40 divisors (see below), whose sum is σ = 231594552. Its totient is φ = 38365184.

The previous prime is 97761667. The next prime is 97761689. The reversal of 97761680 is 8616779.

97761680 = 190² + 191² + ... + 669².

It can be written as a sum of positive squares in 4 ways, for example, as 42823936 + 54937744 = 6544^2 + 7412^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (97761689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7289 + ... + 15768.

Almost surely, 2^97761680 is an apocalyptic number.

It is an amenable number.

97761680 is an abundant number, since it is smaller than the sum of its proper divisors (133832872).

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

97761680 is a wasteful number, since it uses less digits than its factorization.

97761680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23123 (or 23117 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 44.

The square root of 97761680 is about 9887.4506319880. The cubic root of 97761680 is about 460.6695982364.

The spelling of 97761680 in words is "ninety-seven million, seven hundred sixty-one thousand, six hundred eighty".