213172020 has 192 divisors, whose sum is σ = 709632000. Its totient is φ = 52970112.

The previous prime is 213172019. The next prime is 213172031. The reversal of 213172020 is 20271312.

It is a super-2 number, since 2×213172020² = 90884620221760800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213171984 and 213172002.

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, 810409 + ... + 810671.

It is an arithmetic number, because the mean of its divisors is an integer number (3696000).

Almost surely, 2^213172020 is an apocalyptic number.

213172020 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 213172020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354816000).

213172020 is an abundant number, since it is smaller than the sum of its proper divisors (496459980).

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

213172020 is a wasteful number, since it uses less digits than its factorization.

213172020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 213172020 is about 14600.4116380327. The cubic root of 213172020 is about 597.3699885773.

The spelling of 213172020 in words is "two hundred thirteen million, one hundred seventy-two thousand, twenty".