97689216 has 64 divisors (see below), whose sum is σ = 263429280. Its totient is φ = 32068608.

The previous prime is 97689209. The next prime is 97689227. The reversal of 97689216 is 61298679.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23830 + ... + 27626.

Almost surely, 2^97689216 is an apocalyptic number.

97689216 is a gapful number since it is divisible by the number (96) 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 97689216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131714640).

97689216 is an abundant number, since it is smaller than the sum of its proper divisors (165740064).

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

97689216 is a wasteful number, since it uses less digits than its factorization.

97689216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3881 (or 3869 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 97689216 is about 9883.7855096112. The cubic root of 97689216 is about 460.5557492209. Note that the first 3 decimals are identical.

The spelling of 97689216 in words is "ninety-seven million, six hundred eighty-nine thousand, two hundred sixteen".