197206464 has 112 divisors (see below), whose sum is σ = 642242048. Its totient is φ = 52005888.

The previous prime is 197206463. The next prime is 197206517. The reversal of 197206464 is 464602791.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197206463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11829 + ... + 23115.

It is an arithmetic number, because the mean of its divisors is an integer number (5734304).

Almost surely, 2^197206464 is an apocalyptic number.

197206464 is a gapful number since it is divisible by the number (14) 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 197206464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321121024).

197206464 is an abundant number, since it is smaller than the sum of its proper divisors (445035584).

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

197206464 is a wasteful number, since it uses less digits than its factorization.

197206464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11322 (or 11312 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 197206464 is about 14043.0218970135. The cubic root of 197206464 is about 582.0679884202.

The spelling of 197206464 in words is "one hundred ninety-seven million, two hundred six thousand, four hundred sixty-four".