146084680 has 96 divisors (see below), whose sum is σ = 387971640. Its totient is φ = 49351680.

The previous prime is 146084669. The next prime is 146084693. The reversal of 146084680 is 86480641.

It can be written as a sum of positive squares in 4 ways, for example, as 125126596 + 20958084 = 11186^2 + 4578^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142570 + ... + 143590.

Almost surely, 2^146084680 is an apocalyptic number.

146084680 is a gapful number since it is divisible by the number (10) 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 146084680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193985820).

146084680 is an abundant number, since it is smaller than the sum of its proper divisors (241886960).

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

146084680 is a wasteful number, since it uses less digits than its factorization.

146084680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 146084680 is about 12086.5495489821. The cubic root of 146084680 is about 526.6655254653.

The spelling of 146084680 in words is "one hundred forty-six million, eighty-four thousand, six hundred eighty".