7401618 has 80 divisors (see below), whose sum is σ = 19445184. Its totient is φ = 2060640.

The previous prime is 7401617. The next prime is 7401619. The reversal of 7401618 is 8161047.

It is a happy number.

7401618 is a `hidden beast` number, since 7 + 40 + 1 + 618 = 666.

It is an interprime number because it is at equal distance from previous prime (7401617) and next prime (7401619).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 7401591 and 7401600.

It is not an unprimeable number, because it can be changed into a prime (7401617) 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, 69121 + ... + 69227.

Almost surely, 2^7401618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7401618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9722592).

7401618 is an abundant number, since it is smaller than the sum of its proper divisors (12043566).

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

7401618 is a wasteful number, since it uses less digits than its factorization.

7401618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 7401618 is about 2720.5914798073. The cubic root of 7401618 is about 194.8837176546.

The spelling of 7401618 in words is "seven million, four hundred one thousand, six hundred eighteen".