67142400 has 216 divisors, whose sum is σ = 239515920. Its totient is φ = 16465920.

The previous prime is 67142399. The next prime is 67142419. The reversal of 67142400 is 424176.

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 23 ways as a sum of consecutive naturals, for example, 249466 + ... + 249734.

It is an arithmetic number, because the mean of its divisors is an integer number (1108870).

Almost surely, 2^67142400 is an apocalyptic number.

67142400 is a gapful number since it is divisible by the number (60) 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 67142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119757960).

67142400 is an abundant number, since it is smaller than the sum of its proper divisors (172373520).

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

67142400 is a wasteful number, since it uses less digits than its factorization.

67142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 292 counting only the distinct ones).

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

The square root of 67142400 is about 8194.0466193450. The cubic root of 67142400 is about 406.4423499380.

Adding to 67142400 its reverse (424176), we get a palindrome (67566576).

It can be divided in two parts, 671 and 42400, that added together give a triangular number (43071 = T₂₉₃).

The spelling of 67142400 in words is "sixty-seven million, one hundred forty-two thousand, four hundred".