63397824 has 112 divisors (see below), whose sum is σ = 196339968. Its totient is φ = 17676288.

The previous prime is 63397823. The next prime is 63397853. The reversal of 63397824 is 42879336.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (217728) is a multiple of the sum of its prime divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63397823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57244 + ... + 58340.

Almost surely, 2^63397824 is an apocalyptic number.

63397824 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 63397824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98169984).

63397824 is an abundant number, since it is smaller than the sum of its proper divisors (132942144).

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

63397824 is a wasteful number, since it uses less digits than its factorization.

63397824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1152 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 63397824 is about 7962.2750517676. The cubic root of 63397824 is about 398.7415113348.

The spelling of 63397824 in words is "sixty-three million, three hundred ninety-seven thousand, eight hundred twenty-four".