69038640 has 240 divisors, whose sum is σ = 264625920. Its totient is φ = 15966720.

The previous prime is 69038623. The next prime is 69038657. The reversal of 69038640 is 4683096.

69038640 is a `hidden beast` number, since 6 + 9 + 0 + 3 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (69038623) and next prime (69038657).

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

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 = 69038595 and 69038604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181971 + ... + 182349.

It is an arithmetic number, because the mean of its divisors is an integer number (1102608).

Almost surely, 2^69038640 is an apocalyptic number.

69038640 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 69038640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132312960).

69038640 is an abundant number, since it is smaller than the sum of its proper divisors (195587280).

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

69038640 is a wasteful number, since it uses less digits than its factorization.

69038640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 69038640 is about 8308.9493920712. The cubic root of 69038640 is about 410.2331412470.

The spelling of 69038640 in words is "sixty-nine million, thirty-eight thousand, six hundred forty".