1961400 has 96 divisors (see below), whose sum is σ = 6963840. Its totient is φ = 447360.

The previous prime is 1961381. The next prime is 1961411. The reversal of 1961400 is 41691.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3967 + ... + 4433.

It is an arithmetic number, because the mean of its divisors is an integer number (72540).

2^1961400 is an apocalyptic number.

1961400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 1400×1401.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1961400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481920).

1961400 is an abundant number, since it is smaller than the sum of its proper divisors (5002440).

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

1961400 is a wasteful number, since it uses less digits than its factorization.

1961400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1961400 is about 1400.4999107462. The cubic root of 1961400 is about 125.1762846064.

It can be divided in two parts, 196 and 1400, that added together give a triangular number (1596 = T₅₆).

The spelling of 1961400 in words is "one million, nine hundred sixty-one thousand, four hundred".