215140800 has 336 divisors, whose sum is σ = 851651840. Its totient is φ = 46448640.

The previous prime is 215140799. The next prime is 215140801. The reversal of 215140800 is 8041512.

It is an interprime number because it is at equal distance from previous prime (215140799) and next prime (215140801).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215140801) 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, 638232 + ... + 638568.

Almost surely, 2^215140800 is an apocalyptic number.

215140800 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 215140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425825920).

215140800 is an abundant number, since it is smaller than the sum of its proper divisors (636511040).

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

215140800 is a wasteful number, since it uses less digits than its factorization.

215140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 215140800 is about 14667.6787529588. The cubic root of 215140800 is about 599.2033872594.

It can be divided in two parts, 21 and 5140800, that added together give a triangular number (5140821 = T₃₂₀₆).

The spelling of 215140800 in words is "two hundred fifteen million, one hundred forty thousand, eight hundred".