653694720 has 288 divisors, whose sum is σ = 2422973952. Its totient is φ = 147111936.

The previous prime is 653694719. The next prime is 653694731. The reversal of 653694720 is 27496356.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2230894 + ... + 2231186.

It is an arithmetic number, because the mean of its divisors is an integer number (8413104).

Almost surely, 2^653694720 is an apocalyptic number.

653694720 is a gapful number since it is divisible by the number (60) 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 653694720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211486976).

653694720 is an abundant number, since it is smaller than the sum of its proper divisors (1769279232).

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

653694720 is a wasteful number, since it uses less digits than its factorization.

653694720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 653694720 is about 25567.4543120742. The cubic root of 653694720 is about 867.8772929954.

The spelling of 653694720 in words is "six hundred fifty-three million, six hundred ninety-four thousand, seven hundred twenty".