972098820 has 240 divisors, whose sum is σ = 3802474368. Its totient is φ = 201968640.

The previous prime is 972098819. The next prime is 972098833. The reversal of 972098820 is 28890279.

It is a super-2 number, since 2×972098820² = 1889952231690784800, which contains 22 as substring.

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 a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 120844 + ... + 128636.

Almost surely, 2^972098820 is an apocalyptic number.

972098820 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 972098820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901237184).

972098820 is an abundant number, since it is smaller than the sum of its proper divisors (2830375548).

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

972098820 is a wasteful number, since it uses less digits than its factorization.

972098820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7832 (or 7821 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 972098820 is about 31178.4993224498. The cubic root of 972098820 is about 990.6117431245.

The spelling of 972098820 in words is "nine hundred seventy-two million, ninety-eight thousand, eight hundred twenty".