97141680 has 240 divisors, whose sum is σ = 357477120. Its totient is φ = 24447744.

The previous prime is 97141591. The next prime is 97141691. The reversal of 97141680 is 8614179.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369229 + ... + 369491.

It is an arithmetic number, because the mean of its divisors is an integer number (1489488).

Almost surely, 2^97141680 is an apocalyptic number.

97141680 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 97141680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178738560).

97141680 is an abundant number, since it is smaller than the sum of its proper divisors (260335440).

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

97141680 is a wasteful number, since it uses less digits than its factorization.

97141680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 97141680 is about 9856.0478894940. The cubic root of 97141680 is about 459.6936839067.

The spelling of 97141680 in words is "ninety-seven million, one hundred forty-one thousand, six hundred eighty".