97346880 has 224 divisors, whose sum is σ = 362102400. Its totient is φ = 24551424.

The previous prime is 97346869. The next prime is 97346891. The reversal of 97346880 is 8864379.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (97346869) and next prime (97346891).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163864 + ... + 164456.

Almost surely, 2^97346880 is an apocalyptic number.

97346880 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 97346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181051200).

97346880 is an abundant number, since it is smaller than the sum of its proper divisors (264755520).

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

97346880 is a wasteful number, since it uses less digits than its factorization.

97346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 97346880 is about 9866.4522499225. The cubic root of 97346880 is about 460.0171386179.

The spelling of 97346880 in words is "ninety-seven million, three hundred forty-six thousand, eight hundred eighty".