147086320 has 80 divisors (see below), whose sum is σ = 356548608. Its totient is φ = 56367360.

The previous prime is 147086309. The next prime is 147086321. The reversal of 147086320 is 23680741.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×147086320² = 43268771062284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147086321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314727 + ... + 315193.

Almost surely, 2^147086320 is an apocalyptic number.

147086320 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 147086320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178274304).

147086320 is an abundant number, since it is smaller than the sum of its proper divisors (209462288).

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

147086320 is a wasteful number, since it uses less digits than its factorization.

147086320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 147086320 is about 12127.9149073532. The cubic root of 147086320 is about 527.8664913437.

The spelling of 147086320 in words is "one hundred forty-seven million, eighty-six thousand, three hundred twenty".