53920944 has 160 divisors (see below), whose sum is σ = 193082880. Its totient is φ = 13996800.

The previous prime is 53920931. The next prime is 53920949. The reversal of 53920944 is 44902935.

It is a super-2 number, since 2×53920944² = 5814936403702272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53920899 and 53920908.

It is not an unprimeable number, because it can be changed into a prime (53920949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32454 + ... + 34074.

It is an arithmetic number, because the mean of its divisors is an integer number (1206768).

Almost surely, 2^53920944 is an apocalyptic number.

53920944 is a gapful number since it is divisible by the number (54) 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 53920944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96541440).

53920944 is an abundant number, since it is smaller than the sum of its proper divisors (139161936).

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

53920944 is a wasteful number, since it uses less digits than its factorization.

53920944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 53920944 is about 7343.0881786889. The cubic root of 53920944 is about 377.7917724407.

Subtracting from 53920944 its reverse (44902935), we obtain a square (9018009 = 3003²).

The spelling of 53920944 in words is "fifty-three million, nine hundred twenty thousand, nine hundred forty-four".