213548040 has 96 divisors (see below), whose sum is σ = 696173400. Its totient is φ = 56770560.

The previous prime is 213548029. The next prime is 213548047. The reversal of 213548040 is 40845312.

It can be written as a sum of positive squares in 4 ways, for example, as 34363044 + 179184996 = 5862^2 + 13386^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213547995 and 213548013.

It is not an unprimeable number, because it can be changed into a prime (213548047) 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 23 ways as a sum of consecutive naturals, for example, 150856 + ... + 152264.

Almost surely, 2^213548040 is an apocalyptic number.

213548040 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 213548040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348086700).

213548040 is an abundant number, since it is smaller than the sum of its proper divisors (482625360).

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

213548040 is a wasteful number, since it uses less digits than its factorization.

213548040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 213548040 is about 14613.2829986968. The cubic root of 213548040 is about 597.7210213871.

The spelling of 213548040 in words is "two hundred thirteen million, five hundred forty-eight thousand, forty".