74615040 has 288 divisors, whose sum is σ = 282562560. Its totient is φ = 18579456.

The previous prime is 74615029. The next prime is 74615041. The reversal of 74615040 is 4051647.

74615040 is a `hidden beast` number, since 7 + 4 + 615 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 74614995 and 74615013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74615041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587457 + ... + 587583.

It is an arithmetic number, because the mean of its divisors is an integer number (981120).

Almost surely, 2^74615040 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 74615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141281280).

74615040 is an abundant number, since it is smaller than the sum of its proper divisors (207947520).

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

74615040 is a wasteful number, since it uses less digits than its factorization.

74615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 74615040 is about 8637.9997684649. Note that the first 3 decimals coincide. The cubic root of 74615040 is about 420.9935661006.

Adding to 74615040 its reverse (4051647), we get a palindrome (78666687).

The spelling of 74615040 in words is "seventy-four million, six hundred fifteen thousand, forty".