67088340 has 144 divisors (see below), whose sum is σ = 229372416. Its totient is φ = 15724800.

The previous prime is 67088323. The next prime is 67088347. The reversal of 67088340 is 4388076.

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 = 67088295 and 67088304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67088347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60834 + ... + 61926.

It is an arithmetic number, because the mean of its divisors is an integer number (1592864).

Almost surely, 2^67088340 is an apocalyptic number.

67088340 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 67088340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114686208).

67088340 is an abundant number, since it is smaller than the sum of its proper divisors (162284076).

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

67088340 is a wasteful number, since it uses less digits than its factorization.

67088340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 67088340 is about 8190.7472186608. The cubic root of 67088340 is about 406.3332376975. Note that the first 3 decimals are identical.

The spelling of 67088340 in words is "sixty-seven million, eighty-eight thousand, three hundred forty".