696920400 has 180 divisors, whose sum is σ = 2638521600. Its totient is φ = 168940800.

The previous prime is 696920377. The next prime is 696920407. The reversal of 696920400 is 4029696.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (696920407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30801 + ... + 48399.

Almost surely, 2^696920400 is an apocalyptic number.

696920400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

696920400 is the 13200-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 696920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319260800).

696920400 is an abundant number, since it is smaller than the sum of its proper divisors (1941601200).

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

696920400 is a wasteful number, since it uses less digits than its factorization.

696920400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17634 (or 17620 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 696920400 is about 26399.2499893463. The cubic root of 696920400 is about 886.5999974998.

The spelling of 696920400 in words is "six hundred ninety-six million, nine hundred twenty thousand, four hundred".