147906864 has 160 divisors (see below), whose sum is σ = 494016000. Its totient is φ = 41492736.

The previous prime is 147906793. The next prime is 147906893. The reversal of 147906864 is 468609741.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178002 + ... + 178830.

It is an arithmetic number, because the mean of its divisors is an integer number (3087600).

Almost surely, 2^147906864 is an apocalyptic number.

147906864 is a gapful number since it is divisible by the number (14) 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 147906864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247008000).

147906864 is an abundant number, since it is smaller than the sum of its proper divisors (346109136).

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

147906864 is a wasteful number, since it uses less digits than its factorization.

147906864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 147906864 is about 12161.6965921700. The cubic root of 147906864 is about 528.8462668642.

The spelling of 147906864 in words is "one hundred forty-seven million, nine hundred six thousand, eight hundred sixty-four".