162973440 has 432 divisors, whose sum is σ = 673440768. Its totient is φ = 35610624.

The previous prime is 162973429. The next prime is 162973453. The reversal of 162973440 is 44379261.

162973440 is digitally balanced in base 3, 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 162973395 and 162973404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3467497 + ... + 3467543.

Almost surely, 2^162973440 is an apocalyptic number.

162973440 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 162973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336720384).

162973440 is an abundant number, since it is smaller than the sum of its proper divisors (510467328).

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

162973440 is a wasteful number, since it uses less digits than its factorization.

162973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 162973440 is about 12766.1051225501. The cubic root of 162973440 is about 546.2258856850.

The spelling of 162973440 in words is "one hundred sixty-two million, nine hundred seventy-three thousand, four hundred forty".