92787968 has 108 divisors (see below), whose sum is σ = 232433460. Its totient is φ = 36642816.

The previous prime is 92787967. The next prime is 92787977. The reversal of 92787968 is 86978729.

It can be written as a sum of positive squares in 2 ways, for example, as 14500864 + 78287104 = 3808^2 + 8848^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92787967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162788 + ... + 163356.

Almost surely, 2^92787968 is an apocalyptic number.

92787968 is a gapful number since it is divisible by the number (98) 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 92787968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116216730).

92787968 is an abundant number, since it is smaller than the sum of its proper divisors (139645492).

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

92787968 is a wasteful number, since it uses less digits than its factorization.

92787968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 591 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 56.

The square root of 92787968 is about 9632.6511407815. The cubic root of 92787968 is about 452.7209108245.

The spelling of 92787968 in words is "ninety-two million, seven hundred eighty-seven thousand, nine hundred sixty-eight".