92132964 has 144 divisors (see below), whose sum is σ = 301357056. Its totient is φ = 23911200.

The previous prime is 92132933. The next prime is 92132977. The reversal of 92132964 is 46923129.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74229 + ... + 75459.

Almost surely, 2^92132964 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 92132964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150678528).

92132964 is an abundant number, since it is smaller than the sum of its proper divisors (209224092).

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

92132964 is a wasteful number, since it uses less digits than its factorization.

92132964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1254 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 92132964 is about 9598.5917717132. The cubic root of 92132964 is about 451.6531196644.

It can be divided in two parts, 92132 and 964, that added together give a triangular number (93096 = T₄₃₁).

The spelling of 92132964 in words is "ninety-two million, one hundred thirty-two thousand, nine hundred sixty-four".