7936992 has 144 divisors (see below), whose sum is σ = 26836992. Its totient is φ = 2177280.

The previous prime is 7936987. The next prime is 7936997. The reversal of 7936992 is 2996397.

7936992 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7936987) and next prime (7936997).

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

7936992 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7936997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62433 + ... + 62559.

It is an arithmetic number, because the mean of its divisors is an integer number (186368).

Almost surely, 2^7936992 is an apocalyptic number.

7936992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7936992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13418496).

7936992 is an abundant number, since it is smaller than the sum of its proper divisors (18900000).

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

7936992 is a wasteful number, since it uses less digits than its factorization.

7936992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 170 counting only the distinct ones).

The product of its digits is 183708, while the sum is 45.

The square root of 7936992 is about 2817.2667605323. The cubic root of 7936992 is about 199.4735487949.

The spelling of 7936992 in words is "seven million, nine hundred thirty-six thousand, nine hundred ninety-two".