92025648 has 240 divisors, whose sum is σ = 312792480. Its totient is φ = 24883200.

The previous prime is 92025643. The next prime is 92025653. The reversal of 92025648 is 84652029.

92025648 = 402² + 403² + ... + 698².

It is a happy number.

92025648 is a `hidden beast` number, since 9 + 2 + 0 + 2 + 5 + 648 = 666.

It is a Cunningham number, because it is equal to 9593²-1.

It is an interprime number because it is at equal distance from previous prime (92025643) and next prime (92025653).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (92025643) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 844218 + ... + 844326.

It is an arithmetic number, because the mean of its divisors is an integer number (1303302).

Almost surely, 2^92025648 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 92025648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156396240).

92025648 is an abundant number, since it is smaller than the sum of its proper divisors (220766832).

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

92025648 is a wasteful number, since it uses less digits than its factorization.

92025648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 92025648 is about 9592.9999478787. Note that the first 4 decimals coincide. The cubic root of 92025648 is about 451.4776904610.

The spelling of 92025648 in words is "ninety-two million, twenty-five thousand, six hundred forty-eight".