64401040 has 60 divisors (see below), whose sum is σ = 164606652. Its totient is φ = 23415040.

The previous prime is 64401031. The next prime is 64401079. The reversal of 64401040 is 4010446.

It can be written as a sum of positive squares in 2 ways, for example, as 9759376 + 54641664 = 3124^2 + 7392^2 .

It is a junction number, because it is equal to n+sod(n) for n = 64400999 and 64401017.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6354 + ... + 13006.

Almost surely, 2^64401040 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 64401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82303326).

64401040 is an abundant number, since it is smaller than the sum of its proper divisors (100205612).

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

64401040 is a wasteful number, since it uses less digits than its factorization.

64401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6688 (or 6671 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 64401040 is about 8025.0258566562. The cubic root of 64401040 is about 400.8337608994.

Adding to 64401040 its reverse (4010446), we get a palindrome (68411486).

It can be divided in two parts, 64 and 401040, that added together give a palindrome (401104).

The spelling of 64401040 in words is "sixty-four million, four hundred one thousand, forty".