10642192 has 60 divisors (see below), whose sum is σ = 23748480. Its totient is φ = 4607680.

The previous prime is 10642183. The next prime is 10642201. The reversal of 10642192 is 29124601.

It is an interprime number because it is at equal distance from previous prime (10642183) and next prime (10642201).

It is a super-2 number, since 2×10642192² = 226512501129728, which contains 22 as substring.

It is a pancake number, because a pancake can be divided into 10642192 parts by 4613 straight cuts.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44409 + ... + 44647.

It is an arithmetic number, because the mean of its divisors is an integer number (395808).

Almost surely, 2^10642192 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 10642192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874240).

10642192 is an abundant number, since it is smaller than the sum of its proper divisors (13106288).

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

10642192 is a wasteful number, since it uses less digits than its factorization.

10642192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 10642192 is about 3262.2372691146. The cubic root of 10642192 is about 219.9599927251.

Adding to 10642192 its reverse (29124601), we get a palindrome (39766793).

The spelling of 10642192 in words is "ten million, six hundred forty-two thousand, one hundred ninety-two".