10187964 has 96 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 3075840.

The previous prime is 10187963. The next prime is 10187999. The reversal of 10187964 is 46978101.

It is a super-2 number, since 2×10187964² = 207589220930592, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10187963) 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, 56827 + ... + 57005.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 2^10187964 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 10187964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

10187964 is an abundant number, since it is smaller than the sum of its proper divisors (18842436).

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

10187964 is a wasteful number, since it uses less digits than its factorization.

10187964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 10187964 is about 3191.8590194431. The cubic root of 10187964 is about 216.7849526373.

It can be divided in two parts, 101879 and 64, that multiplied together give a palindrome (6520256).

The spelling of 10187964 in words is "ten million, one hundred eighty-seven thousand, nine hundred sixty-four".