210090672 has 100 divisors (see below), whose sum is σ = 663386856. Its totient is φ = 63659520.

The previous prime is 210090667. The next prime is 210090677. The reversal of 210090672 is 276090012.

It is an interprime number because it is at equal distance from previous prime (210090667) and next prime (210090677).

It is a super-3 number, since 3×210090672³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (210090677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6888 + ... + 21624.

Almost surely, 2^210090672 is an apocalyptic number.

210090672 is a gapful number since it is divisible by the number (22) 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 210090672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331693428).

210090672 is an abundant number, since it is smaller than the sum of its proper divisors (453296184).

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

210090672 is a wasteful number, since it uses less digits than its factorization.

210090672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14768 (or 14753 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 210090672 is about 14494.5048897850. The cubic root of 210090672 is about 594.4777301561.

The spelling of 210090672 in words is "two hundred ten million, ninety thousand, six hundred seventy-two".