92970000 has 150 divisors (see below), whose sum is σ = 325444262. Its totient is φ = 24768000.

The previous prime is 92969951. The next prime is 92970019. The reversal of 92970000 is 7929.

It can be written as a sum of positive squares in 5 ways, for example, as 12616704 + 80353296 = 3552^2 + 8964^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89484 + ... + 90516.

Almost surely, 2^92970000 is an apocalyptic number.

92970000 is a gapful number since it is divisible by the number (90) 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 92970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162722131).

92970000 is an abundant number, since it is smaller than the sum of its proper divisors (232474262).

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

92970000 is a wasteful number, since it uses less digits than its factorization.

92970000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 92970000 is about 9642.0952079929. The cubic root of 92970000 is about 453.0167676497.

Adding to 92970000 its reverse (7929), we get a palindrome (92977929).

The spelling of 92970000 in words is "ninety-two million, nine hundred seventy thousand".