210795648 has 192 divisors, whose sum is σ = 690703200. Its totient is φ = 56598528.

The previous prime is 210795643. The next prime is 210795649. The reversal of 210795648 is 846597012.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (210795643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319543 + ... + 320201.

Almost surely, 2^210795648 is an apocalyptic number.

210795648 is a gapful number since it is divisible by the number (28) 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 210795648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345351600).

210795648 is an abundant number, since it is smaller than the sum of its proper divisors (479907552).

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

210795648 is a wasteful number, since it uses less digits than its factorization.

210795648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 210795648 is about 14518.8032564671. The cubic root of 210795648 is about 595.1419269274.

The spelling of 210795648 in words is "two hundred ten million, seven hundred ninety-five thousand, six hundred forty-eight".