67040400 has 240 divisors, whose sum is σ = 256840704. Its totient is φ = 14615040.

The previous prime is 67040399. The next prime is 67040443. The reversal of 67040400 is 404076.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193027 + ... + 193373.

Almost surely, 2^67040400 is an apocalyptic number.

67040400 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 67040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128420352).

67040400 is an abundant number, since it is smaller than the sum of its proper divisors (189800304).

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

67040400 is a wasteful number, since it uses less digits than its factorization.

67040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 67040400 is about 8187.8202227455. The cubic root of 67040400 is about 406.2364287380.

Adding to 67040400 its reverse (404076), we get a palindrome (67444476).

The spelling of 67040400 in words is "sixty-seven million, forty thousand, four hundred".