67265640 has 160 divisors (see below), whose sum is σ = 243631080. Its totient is φ = 16547328.

The previous prime is 67265633. The next prime is 67265641. The reversal of 67265640 is 4656276.

67265640 is a `hidden beast` number, since 6 + 7 + 2 + 6 + 5 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31337604 + 35928036 = 5598^2 + 5994^2 .

It is a super-3 number, since 3×67265640³ (a number of 24 digits) contains 333 as substring.

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 = 67265595 and 67265604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67265641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41322 + ... + 42918.

Almost surely, 2^67265640 is an apocalyptic number.

67265640 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 67265640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121815540).

67265640 is an abundant number, since it is smaller than the sum of its proper divisors (176365440).

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

67265640 is a wasteful number, since it uses less digits than its factorization.

67265640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 67265640 is about 8201.5632656220. The cubic root of 67265640 is about 406.6908731746.

The spelling of 67265640 in words is "sixty-seven million, two hundred sixty-five thousand, six hundred forty".