972261180 has 72 divisors (see below), whose sum is σ = 3217307184. Its totient is φ = 235699200.

The previous prime is 972261151. The next prime is 972261197. The reversal of 972261180 is 81162279.

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

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243541 + ... + 247500.

It is an arithmetic number, because the mean of its divisors is an integer number (44684822).

Almost surely, 2^972261180 is an apocalyptic number.

972261180 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

972261180 is an abundant number, since it is smaller than the sum of its proper divisors (2245046004).

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

972261180 is a wasteful number, since it uses less digits than its factorization.

972261180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491067 (or 491062 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 972261180 is about 31181.1029311024. The cubic root of 972261180 is about 990.6668907309. Note that the first 3 decimals are identical.

The spelling of 972261180 in words is "nine hundred seventy-two million, two hundred sixty-one thousand, one hundred eighty".