160742400 has 528 divisors, whose sum is σ = 682289664. Its totient is φ = 32440320.

The previous prime is 160742399. The next prime is 160742401. The reversal of 160742400 is 4247061.

It is an interprime number because it is at equal distance from previous prime (160742399) and next prime (160742401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160742401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6988789 + ... + 6988811.

Almost surely, 2^160742400 is an apocalyptic number.

160742400 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 160742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341144832).

160742400 is an abundant number, since it is smaller than the sum of its proper divisors (521547264).

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

160742400 is a wasteful number, since it uses less digits than its factorization.

160742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 160742400 is about 12678.4226148208. The cubic root of 160742400 is about 543.7218878319.

Adding to 160742400 its reverse (4247061), we get a palindrome (164989461).

The spelling of 160742400 in words is "one hundred sixty million, seven hundred forty-two thousand, four hundred".