16742400 has 144 divisors (see below), whose sum is σ = 55855800. Its totient is φ = 4423680.

The previous prime is 16742393. The next prime is 16742423. The reversal of 16742400 is 424761.

16742400 is digitally balanced in base 2, 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153546 + ... + 153654.

Almost surely, 2^16742400 is an apocalyptic number.

16742400 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 16742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27927900).

16742400 is an abundant number, since it is smaller than the sum of its proper divisors (39113400).

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

16742400 is a wasteful number, since it uses less digits than its factorization.

16742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

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

The square root of 16742400 is about 4091.7477928142. The cubic root of 16742400 is about 255.8227940311.

The spelling of 16742400 in words is "sixteen million, seven hundred forty-two thousand, four hundred".