973413180 has 96 divisors (see below), whose sum is σ = 3047251200. Its totient is φ = 257961024.

The previous prime is 973413169. The next prime is 973413191. The reversal of 973413180 is 81314379.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (973413169) and next prime (973413191).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 82491 + ... + 93549.

It is an arithmetic number, because the mean of its divisors is an integer number (31742200).

Almost surely, 2^973413180 is an apocalyptic number.

973413180 is a gapful number since it is divisible by the number (90) 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 973413180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523625600).

973413180 is an abundant number, since it is smaller than the sum of its proper divisors (2073838020).

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

973413180 is a wasteful number, since it uses less digits than its factorization.

973413180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11240 (or 11232 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 973413180 is about 31199.5701893472. The cubic root of 973413180 is about 991.0580057370.

The spelling of 973413180 in words is "nine hundred seventy-three million, four hundred thirteen thousand, one hundred eighty".