1392880 has 40 divisors (see below), whose sum is σ = 3383712. Its totient is φ = 532224.

The previous prime is 1392877. The next prime is 1392883. The reversal of 1392880 is 882931.

1392880 = 235² + 236² + ... + 257².

It is an interprime number because it is at equal distance from previous prime (1392877) and next prime (1392883).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1392880² = 3880229388800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1392883) 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, 1462 + ... + 2218.

2^1392880 is an apocalyptic number.

1392880 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 1392880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691856).

1392880 is an abundant number, since it is smaller than the sum of its proper divisors (1990832).

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

1392880 is a wasteful number, since it uses less digits than its factorization.

1392880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 1392880 is about 1180.2033723050. The cubic root of 1392880 is about 111.6789273931.

The spelling of 1392880 in words is "one million, three hundred ninety-two thousand, eight hundred eighty".