653413824 has 168 divisors, whose sum is σ = 2234824080. Its totient is φ = 186665472.

The previous prime is 653413823. The next prime is 653413847. The reversal of 653413824 is 428314356.

It is a tau number, because it is divible by the number of its divisors (168).

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 (653413823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80814 + ... + 88530.

Almost surely, 2^653413824 is an apocalyptic number.

653413824 is a gapful number since it is divisible by the number (64) 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 653413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117412040).

653413824 is an abundant number, since it is smaller than the sum of its proper divisors (1581410256).

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

653413824 is a wasteful number, since it uses less digits than its factorization.

653413824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7752 (or 7729 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 653413824 is about 25561.9604881942. The cubic root of 653413824 is about 867.7529647327.

It can be divided in two parts, 6534 and 13824, that multiplied together give a square (90326016 = 9504²).

The spelling of 653413824 in words is "six hundred fifty-three million, four hundred thirteen thousand, eight hundred twenty-four".