114980970 has 128 divisors (see below), whose sum is σ = 319334400. Its totient is φ = 26258688.

The previous prime is 114980963. The next prime is 114980981. The reversal of 114980970 is 79089411.

114980970 = 2968² + 2969² + ... + 2980².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 437059 + ... + 437321.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^114980970 is an apocalyptic number.

114980970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114980970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

114980970 is an abundant number, since it is smaller than the sum of its proper divisors (204353430).

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

114980970 is a wasteful number, since it uses less digits than its factorization.

114980970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364.

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 114980970 is about 10722.9179797292. The cubic root of 114980970 is about 486.2675879118.

The spelling of 114980970 in words is "one hundred fourteen million, nine hundred eighty thousand, nine hundred seventy".