146993968 has 80 divisors (see below), whose sum is σ = 333969696. Its totient is φ = 61931520.

The previous prime is 146993939. The next prime is 146993983. The reversal of 146993968 is 869399641.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218080 + ... + 218752.

Almost surely, 2^146993968 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 146993968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166984848).

146993968 is an abundant number, since it is smaller than the sum of its proper divisors (186975728).

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

146993968 is a wasteful number, since it uses less digits than its factorization.

146993968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 776 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 55.

The square root of 146993968 is about 12124.1068949428. The cubic root of 146993968 is about 527.7559899441.

The spelling of 146993968 in words is "one hundred forty-six million, nine hundred ninety-three thousand, nine hundred sixty-eight".