146793696 has 96 divisors (see below), whose sum is σ = 463599360. Its totient is φ = 39730176.

The previous prime is 146793683. The next prime is 146793697. The reversal of 146793696 is 696397641.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146793697) 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, 7020 + ... + 18516.

It is an arithmetic number, because the mean of its divisors is an integer number (4829160).

Almost surely, 2^146793696 is an apocalyptic number.

146793696 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 146793696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231799680).

146793696 is an abundant number, since it is smaller than the sum of its proper divisors (316805664).

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

146793696 is a wasteful number, since it uses less digits than its factorization.

146793696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11536 (or 11528 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 51.

The square root of 146793696 is about 12115.8448322847. The cubic root of 146793696 is about 527.5162005461.

The spelling of 146793696 in words is "one hundred forty-six million, seven hundred ninety-three thousand, six hundred ninety-six".