210080640 has 512 divisors, whose sum is σ = 881280000. Its totient is φ = 42147840.

The previous prime is 210080627. The next prime is 210080653. The reversal of 210080640 is 46080012.

It is an interprime number because it is at equal distance from previous prime (210080627) and next prime (210080653).

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

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, 7244146 + ... + 7244174.

It is an arithmetic number, because the mean of its divisors is an integer number (1721250).

Almost surely, 2^210080640 is an apocalyptic number.

210080640 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 210080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440640000).

210080640 is an abundant number, since it is smaller than the sum of its proper divisors (671199360).

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

210080640 is a wasteful number, since it uses less digits than its factorization.

210080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 210080640 is about 14494.1588234709. The cubic root of 210080640 is about 594.4682677409.

The spelling of 210080640 in words is "two hundred ten million, eighty thousand, six hundred forty".