211196160 has 432 divisors, whose sum is σ = 874962816. Its totient is φ = 47775744.

The previous prime is 211196147. The next prime is 211196173. The reversal of 211196160 is 61691112.

It is an interprime number because it is at equal distance from previous prime (211196147) and next prime (211196173).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2177232 + ... + 2177328.

Almost surely, 2^211196160 is an apocalyptic number.

211196160 is a gapful number since it is divisible by the number (20) 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 211196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437481408).

211196160 is an abundant number, since it is smaller than the sum of its proper divisors (663766656).

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

211196160 is an frugal number, since it uses more digits than its factorization.

211196160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 211196160 is about 14532.5895834156. The cubic root of 211196160 is about 595.5186119341.

The spelling of 211196160 in words is "two hundred eleven million, one hundred ninety-six thousand, one hundred sixty".