1097606400 has 216 divisors, whose sum is σ = 3952392864. Its totient is φ = 266035200.

The previous prime is 1097606399. The next prime is 1097606407. The reversal of 1097606400 is 46067901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1097606407) 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, 208602 + ... + 213798.

Almost surely, 2^1097606400 is an apocalyptic number.

1097606400 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 1097606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976196432).

1097606400 is an abundant number, since it is smaller than the sum of its proper divisors (2854786464).

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

1097606400 is a wasteful number, since it uses less digits than its factorization.

1097606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5237 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1097606400 is about 33130.1433742747. The cubic root of 1097606400 is about 1031.5308245305.

The spelling of 1097606400 in words is "one billion, ninety-seven million, six hundred six thousand, four hundred".