10077984 has 72 divisors (see below), whose sum is σ = 32760000. Its totient is φ = 2878848.

The previous prime is 10077983. The next prime is 10078027. The reversal of 10077984 is 48977001.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (10077983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 484 + ... + 4515.

It is an arithmetic number, because the mean of its divisors is an integer number (455000).

Almost surely, 2^10077984 is an apocalyptic number.

10077984 is a gapful number since it is divisible by the number (14) 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 10077984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16380000).

10077984 is an abundant number, since it is smaller than the sum of its proper divisors (22682016).

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

10077984 is a wasteful number, since it uses less digits than its factorization.

10077984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5022 (or 5011 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 10077984 is about 3174.5840672441. The cubic root of 10077984 is about 216.0020575936.

The spelling of 10077984 in words is "ten million, seventy-seven thousand, nine hundred eighty-four".