7640136 has 128 divisors (see below), whose sum is σ = 25190400. Its totient is φ = 2099520.

The previous prime is 7640131. The next prime is 7640141. The reversal of 7640136 is 6310467.

7640136 is a `hidden beast` number, since 7 + 640 + 13 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (7640131) and next prime (7640141).

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

It is not an unprimeable number, because it can be changed into a prime (7640131) 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, 46791 + ... + 46953.

It is an arithmetic number, because the mean of its divisors is an integer number (196800).

Almost surely, 2^7640136 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 7640136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12595200).

7640136 is an abundant number, since it is smaller than the sum of its proper divisors (17550264).

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

7640136 is a wasteful number, since it uses less digits than its factorization.

7640136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 7640136 is about 2764.0795936441. The cubic root of 7640136 is about 196.9550087504.

It can be divided in two parts, 7640 and 136, that added together give a 5-th power (7776 = 6⁵).

The spelling of 7640136 in words is "seven million, six hundred forty thousand, one hundred thirty-six".