92149120 has 128 divisors (see below), whose sum is σ = 256354560. Its totient is φ = 31021056.

The previous prime is 92149117. The next prime is 92149121. The reversal of 92149120 is 2194129.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92149121) 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, 300007 + ... + 300313.

It is an arithmetic number, because the mean of its divisors is an integer number (2002770).

Almost surely, 2^92149120 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 92149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128177280).

92149120 is an abundant number, since it is smaller than the sum of its proper divisors (164205440).

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

92149120 is a wasteful number, since it uses less digits than its factorization.

92149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 92149120 is about 9599.4333166078. The cubic root of 92149120 is about 451.6795180384.

The spelling of 92149120 in words is "ninety-two million, one hundred forty-nine thousand, one hundred twenty".