44264640 has 168 divisors, whose sum is σ = 163659312. Its totient is φ = 10106880.

The previous prime is 44264639. The next prime is 44264657. The reversal of 44264640 is 4646244.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 44264598 and 44264607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46570 + ... + 47510.

Almost surely, 2^44264640 is an apocalyptic number.

44264640 is a gapful number since it is divisible by the number (40) 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 44264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81829656).

44264640 is an abundant number, since it is smaller than the sum of its proper divisors (119394672).

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

44264640 is a wasteful number, since it uses less digits than its factorization.

44264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 44264640 is about 6653.1676666081. The cubic root of 44264640 is about 353.7412006119.

The spelling of 44264640 in words is "forty-four million, two hundred sixty-four thousand, six hundred forty".