1315600 has 120 divisors (see below), whose sum is σ = 3874752. Its totient is φ = 422400.

The previous prime is 1315597. The next prime is 1315603. The reversal of 1315600 is 65131.

1315600 = T₂₄₀ + T₂₄₁ + ... + T₂₇₈.

It is an interprime number because it is at equal distance from previous prime (1315597) and next prime (1315603).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315603) 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, 57189 + ... + 57211.

2^1315600 is an apocalyptic number.

1315600 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 1315600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937376).

1315600 is an abundant number, since it is smaller than the sum of its proper divisors (2559152).

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

1315600 is a wasteful number, since it uses less digits than its factorization.

1315600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 1315600 is about 1146.9960767152. The cubic root of 1315600 is about 109.5741107799.

The spelling of 1315600 in words is "one million, three hundred fifteen thousand, six hundred".