146604096 has 84 divisors (see below), whose sum is σ = 422656000. Its totient is φ = 48584448.

The previous prime is 146604083. The next prime is 146604097. The reversal of 146604096 is 690406641.

146604096 is a `hidden beast` number, since 1 + 46 + 604 + 0 + 9 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 146604096.

It is not an unprimeable number, because it can be changed into a prime (146604097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113985 + ... + 115263.

Almost surely, 2^146604096 is an apocalyptic number.

146604096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146604096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211328000).

146604096 is an abundant number, since it is smaller than the sum of its proper divisors (276051904).

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

146604096 is a wasteful number, since it uses less digits than its factorization.

146604096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 146604096 is about 12108.0178394319. The cubic root of 146604096 is about 527.2889878746.

The spelling of 146604096 in words is "one hundred forty-six million, six hundred four thousand, ninety-six".