157673440 has 96 divisors (see below), whose sum is σ = 390168576. Its totient is φ = 60142080.

The previous prime is 157673401. The next prime is 157673443. The reversal of 157673440 is 44376751.

It is a self number, because there is not a number n which added to its sum of digits gives 157673440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157673443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411489 + ... + 411871.

It is an arithmetic number, because the mean of its divisors is an integer number (4064256).

Almost surely, 2^157673440 is an apocalyptic number.

157673440 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 157673440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195084288).

157673440 is an abundant number, since it is smaller than the sum of its proper divisors (232495136).

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

157673440 is a wasteful number, since it uses less digits than its factorization.

157673440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 157673440 is about 12556.8085117198. The cubic root of 157673440 is about 540.2393086547.

The spelling of 157673440 in words is "one hundred fifty-seven million, six hundred seventy-three thousand, four hundred forty".