161282400 has 288 divisors, whose sum is σ = 573713280. Its totient is φ = 39198720.

The previous prime is 161282389. The next prime is 161282411. The reversal of 161282400 is 4282161.

161282400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (161282389) and next prime (161282411).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2407167 + ... + 2407233.

It is an arithmetic number, because the mean of its divisors is an integer number (1992060).

Almost surely, 2^161282400 is an apocalyptic number.

161282400 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 161282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286856640).

161282400 is an abundant number, since it is smaller than the sum of its proper divisors (412430880).

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

161282400 is a wasteful number, since it uses less digits than its factorization.

161282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 161282400 is about 12699.7007838768. The cubic root of 161282400 is about 544.3300692994.

It can be divided in two parts, 16128 and 2400, that added together give a triangular number (18528 = T₁₉₂).

The spelling of 161282400 in words is "one hundred sixty-one million, two hundred eighty-two thousand, four hundred".