212416960 has 336 divisors, whose sum is σ = 667146240. Its totient is φ = 63866880.

The previous prime is 212416949. The next prime is 212416969. The reversal of 212416960 is 69614212.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212416969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6852145 + ... + 6852175.

Almost surely, 2^212416960 is an apocalyptic number.

212416960 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 212416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333573120).

212416960 is an abundant number, since it is smaller than the sum of its proper divisors (454729280).

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

212416960 is a wasteful number, since it uses less digits than its factorization.

212416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 212416960 is about 14574.5312102997. The cubic root of 212416960 is about 596.6638549781.

The spelling of 212416960 in words is "two hundred twelve million, four hundred sixteen thousand, nine hundred sixty".