162956400 has 120 divisors (see below), whose sum is σ = 525167280. Its totient is φ = 43192320.

The previous prime is 162956393. The next prime is 162956401. The reversal of 162956400 is 4659261.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162956401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274504 + ... + 275096.

It is an arithmetic number, because the mean of its divisors is an integer number (4376394).

Almost surely, 2^162956400 is an apocalyptic number.

162956400 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 162956400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262583640).

162956400 is an abundant number, since it is smaller than the sum of its proper divisors (362210880).

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

162956400 is a wasteful number, since it uses less digits than its factorization.

162956400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 162956400 is about 12765.4377128244. The cubic root of 162956400 is about 546.2068477904.

The spelling of 162956400 in words is "one hundred sixty-two million, nine hundred fifty-six thousand, four hundred".