97689600 has 252 divisors, whose sum is σ = 356526846. Its totient is φ = 25559040.

The previous prime is 97689569. The next prime is 97689607. The reversal of 97689600 is 698679.

It can be written as a sum of positive squares in 3 ways, for example, as 81432576 + 16257024 = 9024^2 + 4032^2 .

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

It is not an unprimeable number, because it can be changed into a prime (97689607) 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, 1843174 + ... + 1843226.

Almost surely, 2^97689600 is an apocalyptic number.

97689600 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 97689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178263423).

97689600 is an abundant number, since it is smaller than the sum of its proper divisors (258837246).

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

97689600 is a wasteful number, since it uses less digits than its factorization.

97689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 97689600 is about 9883.8049353475. The cubic root of 97689600 is about 460.5563526760.

It can be divided in two parts, 97689 and 600, that added together give a palindrome (98289).

The spelling of 97689600 in words is "ninety-seven million, six hundred eighty-nine thousand, six hundred".