67087440 has 480 divisors, whose sum is σ = 292481280. Its totient is φ = 13934592.

The previous prime is 67087421. The next prime is 67087451. The reversal of 67087440 is 4478076.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 67087395 and 67087404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2313346 + ... + 2313374.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 2^67087440 is an apocalyptic number.

67087440 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 67087440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

67087440 is an abundant number, since it is smaller than the sum of its proper divisors (225393840).

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

67087440 is a wasteful number, since it uses less digits than its factorization.

67087440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 67087440 is about 8190.6922784341. The cubic root of 67087440 is about 406.3314206825.

The spelling of 67087440 in words is "sixty-seven million, eighty-seven thousand, four hundred forty".