7661368 has 64 divisors (see below), whose sum is σ = 17428320. Its totient is φ = 3110400.

The previous prime is 7661347. The next prime is 7661393. The reversal of 7661368 is 8631667.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42238 + ... + 42418.

Almost surely, 2^7661368 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 7661368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8714160).

7661368 is an abundant number, since it is smaller than the sum of its proper divisors (9766952).

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

7661368 is a wasteful number, since it uses less digits than its factorization.

7661368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 244 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 7661368 is about 2767.9176288322. The cubic root of 7661368 is about 197.1372865271.

Subtracting 7661368 from its reverse (8631667), we obtain a cube (970299 = 99³).

The spelling of 7661368 in words is "seven million, six hundred sixty-one thousand, three hundred sixty-eight".