196977600 has 126 divisors (see below), whose sum is σ = 700156080. Its totient is φ = 52523520.

The previous prime is 196977593. The next prime is 196977607. The reversal of 196977600 is 6779691.

It is an interprime number because it is at equal distance from previous prime (196977593) and next prime (196977607).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196977607) 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, 7561 + ... + 21239.

Almost surely, 2^196977600 is an apocalyptic number.

196977600 is a gapful number since it is divisible by the number (10) 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 196977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350078040).

196977600 is an abundant number, since it is smaller than the sum of its proper divisors (503178480).

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

196977600 is a wasteful number, since it uses less digits than its factorization.

196977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13707 (or 13689 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 196977600 is about 14034.8708579737. The cubic root of 196977600 is about 581.8427321553.

The spelling of 196977600 in words is "one hundred ninety-six million, nine hundred seventy-seven thousand, six hundred".