67328400 has 120 divisors (see below), whose sum is σ = 227103520. Its totient is φ = 17003520.

The previous prime is 67328363. The next prime is 67328413. The reversal of 67328400 is 482376.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×67328400² = 9066226893120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 21324 + ... + 24276.

Almost surely, 2^67328400 is an apocalyptic number.

67328400 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 67328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113551760).

67328400 is an abundant number, since it is smaller than the sum of its proper divisors (159775120).

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

67328400 is a wasteful number, since it uses less digits than its factorization.

67328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 67328400 is about 8205.3884734362. The cubic root of 67328400 is about 406.8173170531.

The spelling of 67328400 in words is "sixty-seven million, three hundred twenty-eight thousand, four hundred".