146076960 has 96 divisors (see below), whose sum is σ = 475034112. Its totient is φ = 37693440.

The previous prime is 146076943. The next prime is 146076961. The reversal of 146076960 is 69670641.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (146076961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9972 + ... + 19788.

It is an arithmetic number, because the mean of its divisors is an integer number (4948272).

Almost surely, 2^146076960 is an apocalyptic number.

146076960 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 146076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237517056).

146076960 is an abundant number, since it is smaller than the sum of its proper divisors (328957152).

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

146076960 is a wasteful number, since it uses less digits than its factorization.

146076960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9866 (or 9858 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 146076960 is about 12086.2301814917. The cubic root of 146076960 is about 526.6562479023.

The spelling of 146076960 in words is "one hundred forty-six million, seventy-six thousand, nine hundred sixty".