1016400 has 180 divisors, whose sum is σ = 4090016. Its totient is φ = 211200.

The previous prime is 1016399. The next prime is 1016401. The reversal of 1016400 is 46101.

It is an interprime number because it is at equal distance from previous prime (1016399) and next prime (1016401).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92395 + ... + 92405.

2^1016400 is an apocalyptic number.

1016400 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 1016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045008).

1016400 is an abundant number, since it is smaller than the sum of its proper divisors (3073616).

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

1016400 is a wasteful number, since it uses less digits than its factorization.

1016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1016400 is about 1008.1666528903. The cubic root of 1016400 is about 100.5437051561.

Subtracting from 1016400 its reverse (46101), we obtain a cube (970299 = 99³).

The spelling of 1016400 in words is "one million, sixteen thousand, four hundred".