196121952 has 192 divisors, whose sum is σ = 649152000. Its totient is φ = 57106944.

The previous prime is 196121899. The next prime is 196121963. The reversal of 196121952 is 259121691.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212949 + ... + 213867.

It is an arithmetic number, because the mean of its divisors is an integer number (3381000).

Almost surely, 2^196121952 is an apocalyptic number.

196121952 is a gapful number since it is divisible by the number (12) 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 196121952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324576000).

196121952 is an abundant number, since it is smaller than the sum of its proper divisors (453030048).

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

196121952 is a wasteful number, since it uses less digits than its factorization.

196121952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 956 counting only the distinct ones).

The product of its digits is 9720, while the sum is 36.

The square root of 196121952 is about 14004.3547512908. The cubic root of 196121952 is about 580.9990233847. Note that the first 3 decimals are identical.

The spelling of 196121952 in words is "one hundred ninety-six million, one hundred twenty-one thousand, nine hundred fifty-two".