197768640 has 56 divisors (see below), whose sum is σ = 627918480. Its totient is φ = 52738048.

The previous prime is 197768617. The next prime is 197768647. The reversal of 197768640 is 46867791.

197768640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×197768640² = 78224869934899200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 197768640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197768647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102045 + ... + 103964.

It is an arithmetic number, because the mean of its divisors is an integer number (11212830).

Almost surely, 2^197768640 is an apocalyptic number.

197768640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

197768640 is an abundant number, since it is smaller than the sum of its proper divisors (430149840).

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

197768640 is a wasteful number, since it uses less digits than its factorization.

197768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206029 (or 206019 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 197768640 is about 14063.0238569093. The cubic root of 197768640 is about 582.6205636229.

The spelling of 197768640 in words is "one hundred ninety-seven million, seven hundred sixty-eight thousand, six hundred forty".