210964040 has 64 divisors (see below), whose sum is σ = 546048000. Its totient is φ = 71854848.

The previous prime is 210964037. The next prime is 210964069. The reversal of 210964040 is 40469012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41561 + ... + 46359.

It is an arithmetic number, because the mean of its divisors is an integer number (8532000).

Almost surely, 2^210964040 is an apocalyptic number.

210964040 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 210964040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273024000).

210964040 is an abundant number, since it is smaller than the sum of its proper divisors (335083960).

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

210964040 is a wasteful number, since it uses less digits than its factorization.

210964040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974 (or 4970 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 210964040 is about 14524.6011993445. The cubic root of 210964040 is about 595.3003591442.

The spelling of 210964040 in words is "two hundred ten million, nine hundred sixty-four thousand, forty".