1076132400 has 120 divisors (see below), whose sum is σ = 3939700224. Its totient is φ = 245971200.

The previous prime is 1076132399. The next prime is 1076132401. The reversal of 1076132400 is 42316701.

It is an interprime number because it is at equal distance from previous prime (1076132399) and next prime (1076132401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1076132401) 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, 55656 + ... + 72455.

Almost surely, 2^1076132400 is an apocalyptic number.

1076132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1076132400 is an abundant number, since it is smaller than the sum of its proper divisors (2863567824).

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

1076132400 is a wasteful number, since it uses less digits than its factorization.

1076132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128139 (or 128128 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1076132400 is about 32804.4570142534. The cubic root of 1076132400 is about 1024.7593803619.

The spelling of 1076132400 in words is "one billion, seventy-six million, one hundred thirty-two thousand, four hundred".