92006400 has 144 divisors (see below), whose sum is σ = 304668000. Its totient is φ = 24494080.

The previous prime is 92006399. The next prime is 92006407. The reversal of 92006400 is 460029.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92006407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153301 + ... + 153899.

It is an arithmetic number, because the mean of its divisors is an integer number (2115750).

Almost surely, 2^92006400 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 92006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152334000).

92006400 is an abundant number, since it is smaller than the sum of its proper divisors (212661600).

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

92006400 is a wasteful number, since it uses less digits than its factorization.

92006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 92006400 is about 9591.9966638860. The cubic root of 92006400 is about 451.4462113799.

Adding to 92006400 its reverse (460029), we get a palindrome (92466429).

The spelling of 92006400 in words is "ninety-two million, six thousand, four hundred".