7651936 has 48 divisors (see below), whose sum is σ = 15833664. Its totient is φ = 3636864.

The previous prime is 7651913. The next prime is 7651949. The reversal of 7651936 is 6391567.

It is a junction number, because it is equal to n+sod(n) for n = 7651895 and 7651904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92151 + ... + 92233.

It is an arithmetic number, because the mean of its divisors is an integer number (329868).

Almost surely, 2^7651936 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 7651936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7916832).

7651936 is an abundant number, since it is smaller than the sum of its proper divisors (8181728).

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

7651936 is a wasteful number, since it uses less digits than its factorization.

7651936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its digits is 34020, while the sum is 37.

The square root of 7651936 is about 2766.2132961867. The cubic root of 7651936 is about 197.0563539638.

It can be divided in two parts, 765 and 1936, that added together give a triangular number (2701 = T₇₃).

The spelling of 7651936 in words is "seven million, six hundred fifty-one thousand, nine hundred thirty-six".