27400692 has 72 divisors (see below), whose sum is σ = 71322048. Its totient is φ = 8180480.

The previous prime is 27400687. The next prime is 27400693. The reversal of 27400692 is 29600472.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27400693) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163993 + ... + 164159.

It is an arithmetic number, because the mean of its divisors is an integer number (990584).

Almost surely, 2^27400692 is an apocalyptic number.

27400692 is a gapful number since it is divisible by the number (22) 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 27400692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35661024).

27400692 is an abundant number, since it is smaller than the sum of its proper divisors (43921356).

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

27400692 is a wasteful number, since it uses less digits than its factorization.

27400692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 27400692 is about 5234.5670308059. The cubic root of 27400692 is about 301.4767630857.

The spelling of 27400692 in words is "twenty-seven million, four hundred thousand, six hundred ninety-two".