64477920 has 96 divisors (see below), whose sum is σ = 218750112. Its totient is φ = 15869952.

The previous prime is 64477867. The next prime is 64477943. The reversal of 64477920 is 2977446.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 1074 + ... + 11406.

It is an arithmetic number, because the mean of its divisors is an integer number (2278647).

Almost surely, 2^64477920 is an apocalyptic number.

64477920 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 64477920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109375056).

64477920 is an abundant number, since it is smaller than the sum of its proper divisors (154272192).

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

64477920 is a wasteful number, since it uses less digits than its factorization.

64477920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10364 (or 10356 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 64477920 is about 8029.8144436842. The cubic root of 64477920 is about 400.9931985173.

The spelling of 64477920 in words is "sixty-four million, four hundred seventy-seven thousand, nine hundred twenty".