67896400 has 120 divisors (see below), whose sum is σ = 191800224. Its totient is φ = 22771200.

The previous prime is 67896397. The next prime is 67896403. The reversal of 67896400 is 469876.

It is an interprime number because it is at equal distance from previous prime (67896397) and next prime (67896403).

It is a super-2 number, since 2×67896400² = 9219842265920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67896403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56607 + ... + 57793.

Almost surely, 2^67896400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67896400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95900112).

67896400 is an abundant number, since it is smaller than the sum of its proper divisors (123903824).

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

67896400 is a wasteful number, since it uses less digits than its factorization.

67896400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 67896400 is about 8239.9271841443. The cubic root of 67896400 is about 407.9581207815.

The spelling of 67896400 in words is "sixty-seven million, eight hundred ninety-six thousand, four hundred".