92002000 has 80 divisors (see below), whose sum is σ = 224641872. Its totient is φ = 36441600.

The previous prime is 92001979. The next prime is 92002003. The reversal of 92002000 is 20029.

It can be written as a sum of positive squares in 8 ways, for example, as 16451136 + 75550864 = 4056^2 + 8692^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92002003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313854 + ... + 314146.

Almost surely, 2^92002000 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 92002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112320936).

92002000 is an abundant number, since it is smaller than the sum of its proper divisors (132639872).

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

92002000 is a wasteful number, since it uses less digits than its factorization.

92002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 92002000 is about 9591.7673032659. The cubic root of 92002000 is about 451.4390147972.

Adding to 92002000 its reverse (20029), we get a palindrome (92022029).

The spelling of 92002000 in words is "ninety-two million, two thousand".