1070400 has 84 divisors (see below), whose sum is σ = 3527552. Its totient is φ = 284160.

The previous prime is 1070389. The next prime is 1070411. The reversal of 1070400 is 40701.

It is an interprime number because it is at equal distance from previous prime (1070389) and next prime (1070411).

It is a super-2 number, since 2×1070400² = 2291512320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a congruent number.

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, 4689 + ... + 4911.

2^1070400 is an apocalyptic number.

1070400 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 1070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763776).

1070400 is an abundant number, since it is smaller than the sum of its proper divisors (2457152).

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

1070400 is a wasteful number, since it uses less digits than its factorization.

1070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 1070400 is about 1034.6013725102. The cubic root of 1070400 is about 102.2936558741.

The spelling of 1070400 in words is "one million, seventy thousand, four hundred".