10077024 has 48 divisors (see below), whose sum is σ = 27176688. Its totient is φ = 3267072.

The previous prime is 10076951. The next prime is 10077031. The reversal of 10077024 is 42077001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2134 + ... + 4970.

It is an arithmetic number, because the mean of its divisors is an integer number (566181).

Almost surely, 2^10077024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10077024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13588344).

10077024 is an abundant number, since it is smaller than the sum of its proper divisors (17099664).

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

10077024 is a wasteful number, since it uses less digits than its factorization.

10077024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 10077024 is about 3174.4328627331. The cubic root of 10077024 is about 215.9951987959.

The spelling of 10077024 in words is "ten million, seventy-seven thousand, twenty-four".