97671840 has 192 divisors, whose sum is σ = 360702720. Its totient is φ = 21749760.

The previous prime is 97671839. The next prime is 97671857. The reversal of 97671840 is 4817679.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 97671792 and 97671801.

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, 137406 + ... + 138114.

It is an arithmetic number, because the mean of its divisors is an integer number (1878660).

Almost surely, 2^97671840 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 97671840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180351360).

97671840 is an abundant number, since it is smaller than the sum of its proper divisors (263030880).

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

97671840 is a wasteful number, since it uses less digits than its factorization.

97671840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 97671840 is about 9882.9064550870. The cubic root of 97671840 is about 460.5284412213.

The spelling of 97671840 in words is "ninety-seven million, six hundred seventy-one thousand, eight hundred forty".