64314624 has 144 divisors (see below), whose sum is σ = 195439104. Its totient is φ = 18585600.

The previous prime is 64314583. The next prime is 64314629. The reversal of 64314624 is 42641346.

It is a super-2 number, since 2×64314624² = 8272741720522752, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (13824) is a multiple of the sum of its prime factors (384).

It is a junction number, because it is equal to n+sod(n) for n = 64314591 and 64314600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64314629) 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, 194139 + ... + 194469.

It is an arithmetic number, because the mean of its divisors is an integer number (1357216).

Almost surely, 2^64314624 is an apocalyptic number.

64314624 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 64314624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97719552).

64314624 is an abundant number, since it is smaller than the sum of its proper divisors (131124480).

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

64314624 is a wasteful number, since it uses less digits than its factorization.

64314624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 370 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 64314624 is about 8019.6398921647. The cubic root of 64314624 is about 400.6543954992.

It can be divided in two parts, 6 and 4314624, that multiplied together give a square (25887744 = 5088²).

The spelling of 64314624 in words is "sixty-four million, three hundred fourteen thousand, six hundred twenty-four".