14992000 has 64 divisors (see below), whose sum is σ = 37313640. Its totient is φ = 5990400.

The previous prime is 14991997. The next prime is 14992009. The reversal of 14992000 is 29941.

It can be written as a sum of positive squares in 4 ways, for example, as 1272384 + 13719616 = 1128^2 + 3704^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (14992009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15532 + ... + 16468.

Almost surely, 2^14992000 is an apocalyptic number.

14992000 is a gapful number since it is divisible by the number (10) 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 14992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18656820).

14992000 is an abundant number, since it is smaller than the sum of its proper divisors (22321640).

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

14992000 is an frugal number, since it uses more digits than its factorization.

14992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 14992000 is about 3871.9504129056. The cubic root of 14992000 is about 246.5773558661.

The spelling of 14992000 in words is "fourteen million, nine hundred ninety-two thousand".