653670072 has 192 divisors, whose sum is σ = 2055456000. Its totient is φ = 187133760.

The previous prime is 653670071. The next prime is 653670079. The reversal of 653670072 is 270076356.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653670071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1820629 + ... + 1820987.

It is an arithmetic number, because the mean of its divisors is an integer number (10705500).

Almost surely, 2^653670072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653670072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027728000).

653670072 is an abundant number, since it is smaller than the sum of its proper divisors (1401785928).

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

653670072 is a wasteful number, since it uses less digits than its factorization.

653670072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 653670072 is about 25566.9722884819. The cubic root of 653670072 is about 867.8663848923.

The spelling of 653670072 in words is "six hundred fifty-three million, six hundred seventy thousand, seventy-two".