197951616 has 192 divisors, whose sum is σ = 616112640. Its totient is φ = 60825600.

The previous prime is 197951609. The next prime is 197951623. The reversal of 197951616 is 616159791.

It is an interprime number because it is at equal distance from previous prime (197951609) and next prime (197951623).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×197951616² = 78369684554022912, which contains 22 as substring.

Its product of digits (102060) is a multiple of the sum of its prime factors (315).

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, 821256 + ... + 821496.

It is an arithmetic number, because the mean of its divisors is an integer number (3208920).

Almost surely, 2^197951616 is an apocalyptic number.

197951616 is a gapful number since it is divisible by the number (16) 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 197951616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308056320).

197951616 is an abundant number, since it is smaller than the sum of its proper divisors (418161024).

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

197951616 is a wasteful number, since it uses less digits than its factorization.

197951616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 300 counting only the distinct ones).

The product of its digits is 102060, while the sum is 45.

The square root of 197951616 is about 14069.5279238502. The cubic root of 197951616 is about 582.8001888656.

The spelling of 197951616 in words is "one hundred ninety-seven million, nine hundred fifty-one thousand, six hundred sixteen".