92149040 has 80 divisors (see below), whose sum is σ = 227503296. Its totient is φ = 34636800.

The previous prime is 92149003. The next prime is 92149051. The reversal of 92149040 is 4094129.

92149040 = T₁₂₀₈ + T₁₂₀₉ + ... + T₁₃₂₂.

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

It is a junction number, because it is equal to n+sod(n) for n = 92148994 and 92149012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111830 + ... + 112650.

Almost surely, 2^92149040 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 92149040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113751648).

92149040 is an abundant number, since it is smaller than the sum of its proper divisors (135354256).

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

92149040 is a wasteful number, since it uses less digits than its factorization.

92149040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 92149040 is about 9599.4291496943. The cubic root of 92149040 is about 451.6793873286.

The spelling of 92149040 in words is "ninety-two million, one hundred forty-nine thousand, forty".