212963520 has 448 divisors, whose sum is σ = 875483136. Its totient is φ = 42577920.

The previous prime is 212963507. The next prime is 212963537. The reversal of 212963520 is 25369212.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3178527 + ... + 3178593.

Almost surely, 2^212963520 is an apocalyptic number.

212963520 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 212963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437741568).

212963520 is an abundant number, since it is smaller than the sum of its proper divisors (662519616).

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

212963520 is a wasteful number, since it uses less digits than its factorization.

212963520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 212963520 is about 14593.2696816032. The cubic root of 212963520 is about 597.1751658359.

The spelling of 212963520 in words is "two hundred twelve million, nine hundred sixty-three thousand, five hundred twenty".