253666840 has 64 divisors (see below), whose sum is σ = 654888960. Its totient is φ = 86624640.

The previous prime is 253666823. The next prime is 253666873. The reversal of 253666840 is 48666352.

It is a happy number.

253666840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 253666793 and 253666802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74209 + ... + 77551.

It is an arithmetic number, because the mean of its divisors is an integer number (10232640).

Almost surely, 2^253666840 is an apocalyptic number.

253666840 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 253666840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327444480).

253666840 is an abundant number, since it is smaller than the sum of its proper divisors (401222120).

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

253666840 is a wasteful number, since it uses less digits than its factorization.

253666840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 253666840 is about 15926.9218620548. The cubic root of 253666840 is about 633.0255408070.

The spelling of 253666840 in words is "two hundred fifty-three million, six hundred sixty-six thousand, eight hundred forty".