64007940 has 48 divisors (see below), whose sum is σ = 181395648. Its totient is φ = 16861824.

The previous prime is 64007921. The next prime is 64007953. The reversal of 64007940 is 4970046.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 64007898 and 64007907.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1447 + ... + 11406.

It is an arithmetic number, because the mean of its divisors is an integer number (3779076).

Almost surely, 2^64007940 is an apocalyptic number.

64007940 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 64007940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90697824).

64007940 is an abundant number, since it is smaller than the sum of its proper divisors (117387708).

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

64007940 is a wasteful number, since it uses less digits than its factorization.

64007940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12948 (or 12946 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 64007940 is about 8000.4962346095. The cubic root of 64007940 is about 400.0165409826.

Adding to 64007940 its reverse (4970046), we get a palindrome (68977986).

The spelling of 64007940 in words is "sixty-four million, seven thousand, nine hundred forty".