1964000115 has 144 divisors (see below), whose sum is σ = 4481568000. Its totient is φ = 815935680.

The previous prime is 1964000099. The next prime is 1964000131. The reversal of 1964000115 is 5110004691.

1964000115 is a `hidden beast` number, since 1 + 9 + 640 + 0 + 0 + 1 + 15 = 666.

It is an interprime number because it is at equal distance from previous prime (1964000099) and next prime (1964000131).

It is not a de Polignac number, because 1964000115 - 2⁴ = 1964000099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 653386 + ... + 656384.

It is an arithmetic number, because the mean of its divisors is an integer number (31122000).

Almost surely, 2^1964000115 is an apocalyptic number.

1964000115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1964000115 is an abundant number, since it is smaller than the sum of its proper divisors (2517567885).

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

1964000115 is a wasteful number, since it uses less digits than its factorization.

1964000115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1964000115 is about 44317.0409097900. The cubic root of 1964000115 is about 1252.3157317931.

The spelling of 1964000115 in words is "one billion, nine hundred sixty-four million, one hundred fifteen", and thus it is an aban number.