92640720 has 80 divisors (see below), whose sum is σ = 289356480. Its totient is φ = 24517632.

The previous prime is 92640719. The next prime is 92640721. The reversal of 92640720 is 2704629.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (92640719) and next prime (92640721).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92640721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31972 + ... + 34748.

It is an arithmetic number, because the mean of its divisors is an integer number (3616956).

Almost surely, 2^92640720 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 92640720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144678240).

92640720 is an abundant number, since it is smaller than the sum of its proper divisors (196715760).

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

92640720 is a wasteful number, since it uses less digits than its factorization.

92640720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 92640720 is about 9625.0049350637. The cubic root of 92640720 is about 452.4813052521.

The spelling of 92640720 in words is "ninety-two million, six hundred forty thousand, seven hundred twenty".