153996840 has 96 divisors (see below), whose sum is σ = 516672000. Its totient is φ = 39738240.

The previous prime is 153996839. The next prime is 153996841. The reversal of 153996840 is 48699351.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (153996839) and next prime (153996841).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153996841) 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, 4261 + ... + 18059.

It is an arithmetic number, because the mean of its divisors is an integer number (5382000).

Almost surely, 2^153996840 is an apocalyptic number.

153996840 is a gapful number since it is divisible by the number (10) 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 153996840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258336000).

153996840 is an abundant number, since it is smaller than the sum of its proper divisors (362675160).

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

153996840 is a wasteful number, since it uses less digits than its factorization.

153996840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13847 (or 13840 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 153996840 is about 12409.5463253094. The cubic root of 153996840 is about 536.0071748501.

The spelling of 153996840 in words is "one hundred fifty-three million, nine hundred ninety-six thousand, eight hundred forty".