972260190 has 72 divisors (see below), whose sum is σ = 2760468984. Its totient is φ = 235461600.

The previous prime is 972260171. The next prime is 972260221. The reversal of 972260190 is 91062279.

It is a super-2 number, since 2×972260190² = 1890579754117672200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 980595 + ... + 981585.

It is an arithmetic number, because the mean of its divisors is an integer number (38339847).

Almost surely, 2^972260190 is an apocalyptic number.

972260190 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 972260190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380234492).

972260190 is an abundant number, since it is smaller than the sum of its proper divisors (1788208794).

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

972260190 is a wasteful number, since it uses less digits than its factorization.

972260190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 972260190 is about 31181.0870560986. The cubic root of 972260190 is about 990.6665544836. Note that the first 3 decimals are identical.

It can be divided in two parts, 972 and 260190, that added together give a palindrome (261162).

The spelling of 972260190 in words is "nine hundred seventy-two million, two hundred sixty thousand, one hundred ninety".