197824640 has 192 divisors, whose sum is σ = 537580800. Its totient is φ = 69488640.

The previous prime is 197824603. The next prime is 197824651. The reversal of 197824640 is 46428791.

It is a super-2 number, since 2×197824640² = 78269176382259200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3352931 + ... + 3352989.

It is an arithmetic number, because the mean of its divisors is an integer number (2799900).

Almost surely, 2^197824640 is an apocalyptic number.

197824640 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 197824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268790400).

197824640 is an abundant number, since it is smaller than the sum of its proper divisors (339756160).

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

197824640 is a wasteful number, since it uses less digits than its factorization.

197824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 197824640 is about 14065.0147529251. The cubic root of 197824640 is about 582.6755498811.

The spelling of 197824640 in words is "one hundred ninety-seven million, eight hundred twenty-four thousand, six hundred forty".