213061920 has 48 divisors (see below), whose sum is σ = 671146560. Its totient is φ = 56816384.

The previous prime is 213061907. The next prime is 213061939. The reversal of 213061920 is 29160312.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221460 + ... + 222419.

It is an arithmetic number, because the mean of its divisors is an integer number (13982220).

Almost surely, 2^213061920 is an apocalyptic number.

213061920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213061920 is an abundant number, since it is smaller than the sum of its proper divisors (458084640).

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

213061920 is a wasteful number, since it uses less digits than its factorization.

213061920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443897 (or 443889 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 213061920 is about 14596.6407094235. The cubic root of 213061920 is about 597.2671267944.

The spelling of 213061920 in words is "two hundred thirteen million, sixty-one thousand, nine hundred twenty".