16070400 has 270 divisors, whose sum is σ = 61336352. Its totient is φ = 4147200.

The previous prime is 16070339. The next prime is 16070407. The reversal of 16070400 is 407061.

It is a tau number, because it is divible by the number of its divisors (270).

It is a super-3 number, since 3×16070400³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16070407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 518385 + ... + 518415.

Almost surely, 2^16070400 is an apocalyptic number.

16070400 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 16070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30668176).

16070400 is an abundant number, since it is smaller than the sum of its proper divisors (45265952).

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

16070400 is an equidigital number, since it uses as much as digits as its factorization.

16070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 16070400 is about 4008.7903412376. The cubic root of 16070400 is about 252.3532460954.

Adding to 16070400 its reverse (407061), we get a palindrome (16477461).

The spelling of 16070400 in words is "sixteen million, seventy thousand, four hundred".