973365120 has 512 divisors, whose sum is σ = 4249728000. Its totient is φ = 205037568.

The previous prime is 973365109. The next prime is 973365131. The reversal of 973365120 is 21563379.

It is an interprime number because it is at equal distance from previous prime (973365109) and next prime (973365131).

It is a super-2 number, since 2×973365120² = 1894879313665228800, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 1572171 + ... + 1572789.

It is an arithmetic number, because the mean of its divisors is an integer number (8300250).

Almost surely, 2^973365120 is an apocalyptic number.

973365120 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 973365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124864000).

973365120 is an abundant number, since it is smaller than the sum of its proper divisors (3276362880).

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

973365120 is a wasteful number, since it uses less digits than its factorization.

973365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 973365120 is about 31198.7999769222. The cubic root of 973365120 is about 991.0416950779.

The spelling of 973365120 in words is "nine hundred seventy-three million, three hundred sixty-five thousand, one hundred twenty".