89476992 has 192 divisors, whose sum is σ = 294053760. Its totient is φ = 25850880.

The previous prime is 89476991. The next prime is 89476999. The reversal of 89476992 is 29967498.

89476992 is a `hidden beast` number, since 89 + 476 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×89476992² = 16012264194736128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89476991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291303 + ... + 291609.

It is an arithmetic number, because the mean of its divisors is an integer number (1531530).

Almost surely, 2^89476992 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 89476992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147026880).

89476992 is an abundant number, since it is smaller than the sum of its proper divisors (204576768).

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

89476992 is a wasteful number, since it uses less digits than its factorization.

89476992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 346 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 89476992 is about 9459.2278754664. The cubic root of 89476992 is about 447.2707097055.

The spelling of 89476992 in words is "eighty-nine million, four hundred seventy-six thousand, nine hundred ninety-two".