97660800 has 144 divisors (see below), whose sum is σ = 348578880. Its totient is φ = 26035200.

The previous prime is 97660799. The next prime is 97660807. The reversal of 97660800 is 806679.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97660807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27105 + ... + 30495.

Almost surely, 2^97660800 is an apocalyptic number.

97660800 is a gapful number since it is divisible by the number (90) 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 97660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174289440).

97660800 is an abundant number, since it is smaller than the sum of its proper divisors (250918080).

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

97660800 is a wasteful number, since it uses less digits than its factorization.

97660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3421 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 97660800 is about 9882.3478991584. The cubic root of 97660800 is about 460.5110891521.

It can be divided in two parts, 976 and 60800, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 97660800 in words is "ninety-seven million, six hundred sixty thousand, eight hundred".