92816082240 has 672 divisors, whose sum is σ = 373393411200. Its totient is φ = 19400048640.

The previous prime is 92816082223. The next prime is 92816082257. The reversal of 92816082240 is 4228061829.

It is an interprime number because it is at equal distance from previous prime (92816082223) and next prime (92816082257).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×92816082240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 92816082192 and 92816082201.

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 95 ways as a sum of consecutive naturals, for example, 25917250 + ... + 25920830.

Almost surely, 2^92816082240 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 92816082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186696705600).

92816082240 is an abundant number, since it is smaller than the sum of its proper divisors (280577328960).

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

92816082240 is a wasteful number, since it uses less digits than its factorization.

92816082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 92816082240 in words is "ninety-two billion, eight hundred sixteen million, eighty-two thousand, two hundred forty".